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Finding the Fourth Proportional to 5,780.68, 8,690.35 and 4,562.77

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Solution

The fourth proportional to 5,780.68, 8,690.35 and 4,562.77 is: 6,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.68 : 8,690.35 = 4,562.77 : x
  2. Step 2: Convert to fraction form
    5,780.68/8,690.35 = 4,562.77/x
  3. Step 3: Cross multiply
    5,780.68x = 8,690.35 × 4,562.77
  4. Step 4: Simplify right side
    5,780.68x = 39,652,068.27
  5. Step 5: Solve for x
    x = 39,652,068.27/5,780.68
  6. Step 6: Final answer
    x = 6,859.41

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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.