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Finding the Fourth Proportional to 3,342.64, 5,014 and 1,151.39

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Solution

The fourth proportional to 3,342.64, 5,014 and 1,151.39 is: 1,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.64 : 5,014 = 1,151.39 : x
  2. Step 2: Convert to fraction form
    3,342.64/5,014 = 1,151.39/x
  3. Step 3: Cross multiply
    3,342.64x = 5,014 × 1,151.39
  4. Step 4: Simplify right side
    3,342.64x = 5,773,069.46
  5. Step 5: Solve for x
    x = 5,773,069.46/3,342.64
  6. Step 6: Final answer
    x = 1,727.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.