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Finding the Fourth Proportional to 5,057,070.09, 6,972,793.65 and 4,087,201.20

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Solution

The fourth proportional to 5,057,070.09, 6,972,793.65 and 4,087,201.20 is: 5,635,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057,070.09 : 6,972,793.65 = 4,087,201.20 : x
  2. Step 2: Convert to fraction form
    5,057,070.09/6,972,793.65 = 4,087,201.20/x
  3. Step 3: Cross multiply
    5,057,070.09x = 6,972,793.65 × 4,087,201.20
  4. Step 4: Simplify right side
    5,057,070.09x = 28,499,210,573,632.38
  5. Step 5: Solve for x
    x = 28,499,210,573,632.38/5,057,070.09
  6. Step 6: Final answer
    x = 5,635,518.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.