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Finding the Fourth Proportional to 5,780.55, 8,690.16 and 4,562.64

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Solution

The fourth proportional to 5,780.55, 8,690.16 and 4,562.64 is: 6,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.55 : 8,690.16 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    5,780.55/8,690.16 = 4,562.64/x
  3. Step 3: Cross multiply
    5,780.55x = 8,690.16 × 4,562.64
  4. Step 4: Simplify right side
    5,780.55x = 39,650,071.62
  5. Step 5: Solve for x
    x = 39,650,071.62/5,780.55
  6. Step 6: Final answer
    x = 6,859.22

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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.