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Finding the Fourth Proportional to 5,582.39, 8,372.50 and 1,685.88

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Solution

The fourth proportional to 5,582.39, 8,372.50 and 1,685.88 is: 2,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.39 : 8,372.50 = 1,685.88 : x
  2. Step 2: Convert to fraction form
    5,582.39/8,372.50 = 1,685.88/x
  3. Step 3: Cross multiply
    5,582.39x = 8,372.50 × 1,685.88
  4. Step 4: Simplify right side
    5,582.39x = 14,115,026.09
  5. Step 5: Solve for x
    x = 14,115,026.09/5,582.39
  6. Step 6: Final answer
    x = 2,528.49

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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.