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Finding the Fourth Proportional to 3,472.98, 4,785.75 and 2,948.10

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Solution

The fourth proportional to 3,472.98, 4,785.75 and 2,948.10 is: 4,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.98 : 4,785.75 = 2,948.10 : x
  2. Step 2: Convert to fraction form
    3,472.98/4,785.75 = 2,948.10/x
  3. Step 3: Cross multiply
    3,472.98x = 4,785.75 × 2,948.10
  4. Step 4: Simplify right side
    3,472.98x = 14,108,869.58
  5. Step 5: Solve for x
    x = 14,108,869.58/3,472.98
  6. Step 6: Final answer
    x = 4,062.47

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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.