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Finding the Fourth Proportional to 5,638.71, 7,782.98 and 3,281.30

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Solution

The fourth proportional to 5,638.71, 7,782.98 and 3,281.30 is: 4,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.71 : 7,782.98 = 3,281.30 : x
  2. Step 2: Convert to fraction form
    5,638.71/7,782.98 = 3,281.30/x
  3. Step 3: Cross multiply
    5,638.71x = 7,782.98 × 3,281.30
  4. Step 4: Simplify right side
    5,638.71x = 25,538,275.87
  5. Step 5: Solve for x
    x = 25,538,275.87/5,638.71
  6. Step 6: Final answer
    x = 4,529.10

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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.