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Finding the Fourth Proportional to 4,082.90, 5,627.54 and 3,125.48

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Solution

The fourth proportional to 4,082.90, 5,627.54 and 3,125.48 is: 4,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.90 : 5,627.54 = 3,125.48 : x
  2. Step 2: Convert to fraction form
    4,082.90/5,627.54 = 3,125.48/x
  3. Step 3: Cross multiply
    4,082.90x = 5,627.54 × 3,125.48
  4. Step 4: Simplify right side
    4,082.90x = 17,588,719.95
  5. Step 5: Solve for x
    x = 17,588,719.95/4,082.90
  6. Step 6: Final answer
    x = 4,307.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.