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Finding the Fourth Proportional to 5,101.47, 7,652.28 and 1,403.67

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Solution

The fourth proportional to 5,101.47, 7,652.28 and 1,403.67 is: 2,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.47 : 7,652.28 = 1,403.67 : x
  2. Step 2: Convert to fraction form
    5,101.47/7,652.28 = 1,403.67/x
  3. Step 3: Cross multiply
    5,101.47x = 7,652.28 × 1,403.67
  4. Step 4: Simplify right side
    5,101.47x = 10,741,275.87
  5. Step 5: Solve for x
    x = 10,741,275.87/5,101.47
  6. Step 6: Final answer
    x = 2,105.53

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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.