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Finding the Fourth Proportional to 4,242.35, 5,854.18 and 2,562.77

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Solution

The fourth proportional to 4,242.35, 5,854.18 and 2,562.77 is: 3,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.35 : 5,854.18 = 2,562.77 : x
  2. Step 2: Convert to fraction form
    4,242.35/5,854.18 = 2,562.77/x
  3. Step 3: Cross multiply
    4,242.35x = 5,854.18 × 2,562.77
  4. Step 4: Simplify right side
    4,242.35x = 15,002,904.19
  5. Step 5: Solve for x
    x = 15,002,904.19/4,242.35
  6. Step 6: Final answer
    x = 3,536.46

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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.