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Finding the Fourth Proportional to 4,241.88, 5,854.18 and 2,564.12

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Solution

The fourth proportional to 4,241.88, 5,854.18 and 2,564.12 is: 3,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.88 : 5,854.18 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    4,241.88/5,854.18 = 2,564.12/x
  3. Step 3: Cross multiply
    4,241.88x = 5,854.18 × 2,564.12
  4. Step 4: Simplify right side
    4,241.88x = 15,010,820.02
  5. Step 5: Solve for x
    x = 15,010,820.02/4,241.88
  6. Step 6: Final answer
    x = 3,538.72

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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.