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Finding the Fourth Proportional to 5,689.54, 8,521.87 and 4,691.14

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Solution

The fourth proportional to 5,689.54, 8,521.87 and 4,691.14 is: 7,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.54 : 8,521.87 = 4,691.14 : x
  2. Step 2: Convert to fraction form
    5,689.54/8,521.87 = 4,691.14/x
  3. Step 3: Cross multiply
    5,689.54x = 8,521.87 × 4,691.14
  4. Step 4: Simplify right side
    5,689.54x = 39,977,271.77
  5. Step 5: Solve for x
    x = 39,977,271.77/5,689.54
  6. Step 6: Final answer
    x = 7,026.45

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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.