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Finding the Fourth Proportional to 5,582.46, 8,375.04 and 1,686.64

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Solution

The fourth proportional to 5,582.46, 8,375.04 and 1,686.64 is: 2,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.46 : 8,375.04 = 1,686.64 : x
  2. Step 2: Convert to fraction form
    5,582.46/8,375.04 = 1,686.64/x
  3. Step 3: Cross multiply
    5,582.46x = 8,375.04 × 1,686.64
  4. Step 4: Simplify right side
    5,582.46x = 14,125,677.47
  5. Step 5: Solve for x
    x = 14,125,677.47/5,582.46
  6. Step 6: Final answer
    x = 2,530.37

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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.