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Finding the Fourth Proportional to 5,353.62, 8,031.95 and 4,689.32

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Solution

The fourth proportional to 5,353.62, 8,031.95 and 4,689.32 is: 7,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.62 : 8,031.95 = 4,689.32 : x
  2. Step 2: Convert to fraction form
    5,353.62/8,031.95 = 4,689.32/x
  3. Step 3: Cross multiply
    5,353.62x = 8,031.95 × 4,689.32
  4. Step 4: Simplify right side
    5,353.62x = 37,664,320.17
  5. Step 5: Solve for x
    x = 37,664,320.17/5,353.62
  6. Step 6: Final answer
    x = 7,035.30

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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.