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Finding the Fourth Proportional to 3,750.50, 5,625.65 and 1,558.64

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Solution

The fourth proportional to 3,750.50, 5,625.65 and 1,558.64 is: 2,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.50 : 5,625.65 = 1,558.64 : x
  2. Step 2: Convert to fraction form
    3,750.50/5,625.65 = 1,558.64/x
  3. Step 3: Cross multiply
    3,750.50x = 5,625.65 × 1,558.64
  4. Step 4: Simplify right side
    3,750.50x = 8,768,381.08
  5. Step 5: Solve for x
    x = 8,768,381.08/3,750.50
  6. Step 6: Final answer
    x = 2,337.92

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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.