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Finding the Fourth Proportional to 4,332.18, 5,978.43 and 2,342.75

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Solution

The fourth proportional to 4,332.18, 5,978.43 and 2,342.75 is: 3,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.18 : 5,978.43 = 2,342.75 : x
  2. Step 2: Convert to fraction form
    4,332.18/5,978.43 = 2,342.75/x
  3. Step 3: Cross multiply
    4,332.18x = 5,978.43 × 2,342.75
  4. Step 4: Simplify right side
    4,332.18x = 14,005,988.65
  5. Step 5: Solve for x
    x = 14,005,988.65/4,332.18
  6. Step 6: Final answer
    x = 3,233.01

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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.