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Finding the Fourth Proportional to 5,114.67, 7,056.23 and 3,437.16

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Solution

The fourth proportional to 5,114.67, 7,056.23 and 3,437.16 is: 4,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.67 : 7,056.23 = 3,437.16 : x
  2. Step 2: Convert to fraction form
    5,114.67/7,056.23 = 3,437.16/x
  3. Step 3: Cross multiply
    5,114.67x = 7,056.23 × 3,437.16
  4. Step 4: Simplify right side
    5,114.67x = 24,253,374.32
  5. Step 5: Solve for x
    x = 24,253,374.32/5,114.67
  6. Step 6: Final answer
    x = 4,741.92

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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.