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Finding the Fourth Proportional to 4,114.55, 5,678.10 and 2,347.18

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Solution

The fourth proportional to 4,114.55, 5,678.10 and 2,347.18 is: 3,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 5,678.10 = 2,347.18 : x
  2. Step 2: Convert to fraction form
    4,114.55/5,678.10 = 2,347.18/x
  3. Step 3: Cross multiply
    4,114.55x = 5,678.10 × 2,347.18
  4. Step 4: Simplify right side
    4,114.55x = 13,327,508.56
  5. Step 5: Solve for x
    x = 13,327,508.56/4,114.55
  6. Step 6: Final answer
    x = 3,239.12

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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.