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Finding the Fourth Proportional to 6,417.05, 8,854.88 and 3,583.97

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Solution

The fourth proportional to 6,417.05, 8,854.88 and 3,583.97 is: 4,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.05 : 8,854.88 = 3,583.97 : x
  2. Step 2: Convert to fraction form
    6,417.05/8,854.88 = 3,583.97/x
  3. Step 3: Cross multiply
    6,417.05x = 8,854.88 × 3,583.97
  4. Step 4: Simplify right side
    6,417.05x = 31,735,611.10
  5. Step 5: Solve for x
    x = 31,735,611.10/6,417.05
  6. Step 6: Final answer
    x = 4,945.52

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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.