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Finding the Fourth Proportional to 3,522.64, 5,280.14 and 2,290.93

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Solution

The fourth proportional to 3,522.64, 5,280.14 and 2,290.93 is: 3,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.64 : 5,280.14 = 2,290.93 : x
  2. Step 2: Convert to fraction form
    3,522.64/5,280.14 = 2,290.93/x
  3. Step 3: Cross multiply
    3,522.64x = 5,280.14 × 2,290.93
  4. Step 4: Simplify right side
    3,522.64x = 12,096,443.46
  5. Step 5: Solve for x
    x = 12,096,443.46/3,522.64
  6. Step 6: Final answer
    x = 3,433.92

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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.