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Finding the Fourth Proportional to 3,125.64, 4,688.28 and 934.41

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Solution

The fourth proportional to 3,125.64, 4,688.28 and 934.41 is: 1,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.64 : 4,688.28 = 934.41 : x
  2. Step 2: Convert to fraction form
    3,125.64/4,688.28 = 934.41/x
  3. Step 3: Cross multiply
    3,125.64x = 4,688.28 × 934.41
  4. Step 4: Simplify right side
    3,125.64x = 4,380,775.71
  5. Step 5: Solve for x
    x = 4,380,775.71/3,125.64
  6. Step 6: Final answer
    x = 1,401.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.