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Finding the Fourth Proportional to 5,461.77, 8,193.87 and 1,565.88

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Solution

The fourth proportional to 5,461.77, 8,193.87 and 1,565.88 is: 2,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.77 : 8,193.87 = 1,565.88 : x
  2. Step 2: Convert to fraction form
    5,461.77/8,193.87 = 1,565.88/x
  3. Step 3: Cross multiply
    5,461.77x = 8,193.87 × 1,565.88
  4. Step 4: Simplify right side
    5,461.77x = 12,830,617.16
  5. Step 5: Solve for x
    x = 12,830,617.16/5,461.77
  6. Step 6: Final answer
    x = 2,349.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.