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Finding the Fourth Proportional to 6,588.64, 9,882.96 and 3,030.40

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Solution

The fourth proportional to 6,588.64, 9,882.96 and 3,030.40 is: 4,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.64 : 9,882.96 = 3,030.40 : x
  2. Step 2: Convert to fraction form
    6,588.64/9,882.96 = 3,030.40/x
  3. Step 3: Cross multiply
    6,588.64x = 9,882.96 × 3,030.40
  4. Step 4: Simplify right side
    6,588.64x = 29,949,321.98
  5. Step 5: Solve for x
    x = 29,949,321.98/6,588.64
  6. Step 6: Final answer
    x = 4,545.60

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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.