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Finding the Fourth Proportional to 5,057,854.65, 6,978,245.92 and 3,095,687.17

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Solution

The fourth proportional to 5,057,854.65, 6,978,245.92 and 3,095,687.17 is: 4,271,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057,854.65 : 6,978,245.92 = 3,095,687.17 : x
  2. Step 2: Convert to fraction form
    5,057,854.65/6,978,245.92 = 3,095,687.17/x
  3. Step 3: Cross multiply
    5,057,854.65x = 6,978,245.92 × 3,095,687.17
  4. Step 4: Simplify right side
    5,057,854.65x = 21,602,466,363,648.84
  5. Step 5: Solve for x
    x = 21,602,466,363,648.84/5,057,854.65
  6. Step 6: Final answer
    x = 4,271,072.99

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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.