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Finding the Fourth Proportional to 3,527.67, 5,280.06 and 2,602.86

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Solution

The fourth proportional to 3,527.67, 5,280.06 and 2,602.86 is: 3,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.67 : 5,280.06 = 2,602.86 : x
  2. Step 2: Convert to fraction form
    3,527.67/5,280.06 = 2,602.86/x
  3. Step 3: Cross multiply
    3,527.67x = 5,280.06 × 2,602.86
  4. Step 4: Simplify right side
    3,527.67x = 13,743,256.97
  5. Step 5: Solve for x
    x = 13,743,256.97/3,527.67
  6. Step 6: Final answer
    x = 3,895.85

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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.