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Finding the Fourth Proportional to 5,054.29, 6,978.20 and 4,740.62

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Solution

The fourth proportional to 5,054.29, 6,978.20 and 4,740.62 is: 6,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.29 : 6,978.20 = 4,740.62 : x
  2. Step 2: Convert to fraction form
    5,054.29/6,978.20 = 4,740.62/x
  3. Step 3: Cross multiply
    5,054.29x = 6,978.20 × 4,740.62
  4. Step 4: Simplify right side
    5,054.29x = 33,080,935.89
  5. Step 5: Solve for x
    x = 33,080,935.89/5,054.29
  6. Step 6: Final answer
    x = 6,545.12

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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.