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Finding the Fourth Proportional to 5,765.72, 8,637.71 and 4,597.02

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Solution

The fourth proportional to 5,765.72, 8,637.71 and 4,597.02 is: 6,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.72 : 8,637.71 = 4,597.02 : x
  2. Step 2: Convert to fraction form
    5,765.72/8,637.71 = 4,597.02/x
  3. Step 3: Cross multiply
    5,765.72x = 8,637.71 × 4,597.02
  4. Step 4: Simplify right side
    5,765.72x = 39,707,702.64
  5. Step 5: Solve for x
    x = 39,707,702.64/5,765.72
  6. Step 6: Final answer
    x = 6,886.87

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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.