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Finding the Fourth Proportional to 3,522.59, 4,856.76 and 2,261.42

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Solution

The fourth proportional to 3,522.59, 4,856.76 and 2,261.42 is: 3,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.59 : 4,856.76 = 2,261.42 : x
  2. Step 2: Convert to fraction form
    3,522.59/4,856.76 = 2,261.42/x
  3. Step 3: Cross multiply
    3,522.59x = 4,856.76 × 2,261.42
  4. Step 4: Simplify right side
    3,522.59x = 10,983,174.20
  5. Step 5: Solve for x
    x = 10,983,174.20/3,522.59
  6. Step 6: Final answer
    x = 3,117.93

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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.