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Finding the Fourth Proportional to 3,469.61, 4,788.71 and 2,407.02

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Solution

The fourth proportional to 3,469.61, 4,788.71 and 2,407.02 is: 3,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.61 : 4,788.71 = 2,407.02 : x
  2. Step 2: Convert to fraction form
    3,469.61/4,788.71 = 2,407.02/x
  3. Step 3: Cross multiply
    3,469.61x = 4,788.71 × 2,407.02
  4. Step 4: Simplify right side
    3,469.61x = 11,526,508.71
  5. Step 5: Solve for x
    x = 11,526,508.71/3,469.61
  6. Step 6: Final answer
    x = 3,322.14

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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.