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Finding the Fourth Proportional to 6,416.25, 8,854.57 and 3,583.47

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Solution

The fourth proportional to 6,416.25, 8,854.57 and 3,583.47 is: 4,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.25 : 8,854.57 = 3,583.47 : x
  2. Step 2: Convert to fraction form
    6,416.25/8,854.57 = 3,583.47/x
  3. Step 3: Cross multiply
    6,416.25x = 8,854.57 × 3,583.47
  4. Step 4: Simplify right side
    6,416.25x = 31,730,123.64
  5. Step 5: Solve for x
    x = 31,730,123.64/6,416.25
  6. Step 6: Final answer
    x = 4,945.28

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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.