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Finding the Fourth Proportional to 3,750.64, 5,625.64 and 1,153.52

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Solution

The fourth proportional to 3,750.64, 5,625.64 and 1,153.52 is: 1,730.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.64 : 5,625.64 = 1,153.52 : x
  2. Step 2: Convert to fraction form
    3,750.64/5,625.64 = 1,153.52/x
  3. Step 3: Cross multiply
    3,750.64x = 5,625.64 × 1,153.52
  4. Step 4: Simplify right side
    3,750.64x = 6,489,288.25
  5. Step 5: Solve for x
    x = 6,489,288.25/3,750.64
  6. Step 6: Final answer
    x = 1,730.18

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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.