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Finding the Fourth Proportional to 3,354.71, 5,032.97 and 2,386.95

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Solution

The fourth proportional to 3,354.71, 5,032.97 and 2,386.95 is: 3,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.71 : 5,032.97 = 2,386.95 : x
  2. Step 2: Convert to fraction form
    3,354.71/5,032.97 = 2,386.95/x
  3. Step 3: Cross multiply
    3,354.71x = 5,032.97 × 2,386.95
  4. Step 4: Simplify right side
    3,354.71x = 12,013,435.81
  5. Step 5: Solve for x
    x = 12,013,435.81/3,354.71
  6. Step 6: Final answer
    x = 3,581.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.