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Finding the Fourth Proportional to 3,862.64, 5,330.40 and 2,290.52

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Solution

The fourth proportional to 3,862.64, 5,330.40 and 2,290.52 is: 3,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.64 : 5,330.40 = 2,290.52 : x
  2. Step 2: Convert to fraction form
    3,862.64/5,330.40 = 2,290.52/x
  3. Step 3: Cross multiply
    3,862.64x = 5,330.40 × 2,290.52
  4. Step 4: Simplify right side
    3,862.64x = 12,209,387.81
  5. Step 5: Solve for x
    x = 12,209,387.81/3,862.64
  6. Step 6: Final answer
    x = 3,160.89

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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.