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Finding the Fourth Proportional to 5,773.67, 7,959.18 and 4,089.86

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Solution

The fourth proportional to 5,773.67, 7,959.18 and 4,089.86 is: 5,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.67 : 7,959.18 = 4,089.86 : x
  2. Step 2: Convert to fraction form
    5,773.67/7,959.18 = 4,089.86/x
  3. Step 3: Cross multiply
    5,773.67x = 7,959.18 × 4,089.86
  4. Step 4: Simplify right side
    5,773.67x = 32,551,931.91
  5. Step 5: Solve for x
    x = 32,551,931.91/5,773.67
  6. Step 6: Final answer
    x = 5,638.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.