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Finding the Fourth Proportional to 3,685.76, 5,082.72 and 3,125.60

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Solution

The fourth proportional to 3,685.76, 5,082.72 and 3,125.60 is: 4,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.76 : 5,082.72 = 3,125.60 : x
  2. Step 2: Convert to fraction form
    3,685.76/5,082.72 = 3,125.60/x
  3. Step 3: Cross multiply
    3,685.76x = 5,082.72 × 3,125.60
  4. Step 4: Simplify right side
    3,685.76x = 15,886,549.63
  5. Step 5: Solve for x
    x = 15,886,549.63/3,685.76
  6. Step 6: Final answer
    x = 4,310.25

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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.