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Finding the Fourth Proportional to 6,458.48, 8,915.64 and 4,965.87

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Solution

The fourth proportional to 6,458.48, 8,915.64 and 4,965.87 is: 6,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.48 : 8,915.64 = 4,965.87 : x
  2. Step 2: Convert to fraction form
    6,458.48/8,915.64 = 4,965.87/x
  3. Step 3: Cross multiply
    6,458.48x = 8,915.64 × 4,965.87
  4. Step 4: Simplify right side
    6,458.48x = 44,273,909.21
  5. Step 5: Solve for x
    x = 44,273,909.21/6,458.48
  6. Step 6: Final answer
    x = 6,855.16

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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.