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Finding the Fourth Proportional to 4,957.47, 6,842.61 and 2,969.58

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Solution

The fourth proportional to 4,957.47, 6,842.61 and 2,969.58 is: 4,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.47 : 6,842.61 = 2,969.58 : x
  2. Step 2: Convert to fraction form
    4,957.47/6,842.61 = 2,969.58/x
  3. Step 3: Cross multiply
    4,957.47x = 6,842.61 × 2,969.58
  4. Step 4: Simplify right side
    4,957.47x = 20,319,677.80
  5. Step 5: Solve for x
    x = 20,319,677.80/4,957.47
  6. Step 6: Final answer
    x = 4,098.80

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