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Finding the Fourth Proportional to 5,767.61, 8,649.79 and 1,607.85

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Solution

The fourth proportional to 5,767.61, 8,649.79 and 1,607.85 is: 2,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.61 : 8,649.79 = 1,607.85 : x
  2. Step 2: Convert to fraction form
    5,767.61/8,649.79 = 1,607.85/x
  3. Step 3: Cross multiply
    5,767.61x = 8,649.79 × 1,607.85
  4. Step 4: Simplify right side
    5,767.61x = 13,907,560.83
  5. Step 5: Solve for x
    x = 13,907,560.83/5,767.61
  6. Step 6: Final answer
    x = 2,411.32

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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.