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Finding the Fourth Proportional to 6,389.52, 8,817.76 and 3,557.16

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Solution

The fourth proportional to 6,389.52, 8,817.76 and 3,557.16 is: 4,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.52 : 8,817.76 = 3,557.16 : x
  2. Step 2: Convert to fraction form
    6,389.52/8,817.76 = 3,557.16/x
  3. Step 3: Cross multiply
    6,389.52x = 8,817.76 × 3,557.16
  4. Step 4: Simplify right side
    6,389.52x = 31,366,183.16
  5. Step 5: Solve for x
    x = 31,366,183.16/6,389.52
  6. Step 6: Final answer
    x = 4,909.00

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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.