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Finding the Fourth Proportional to 4,052.54, 5,591.85 and 2,259.74

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Solution

The fourth proportional to 4,052.54, 5,591.85 and 2,259.74 is: 3,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.54 : 5,591.85 = 2,259.74 : x
  2. Step 2: Convert to fraction form
    4,052.54/5,591.85 = 2,259.74/x
  3. Step 3: Cross multiply
    4,052.54x = 5,591.85 × 2,259.74
  4. Step 4: Simplify right side
    4,052.54x = 12,636,127.12
  5. Step 5: Solve for x
    x = 12,636,127.12/4,052.54
  6. Step 6: Final answer
    x = 3,118.08

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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.