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Finding the Fourth Proportional to 4,032.40, 6,041.40 and 3,456.40

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Solution

The fourth proportional to 4,032.40, 6,041.40 and 3,456.40 is: 5,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.40 : 6,041.40 = 3,456.40 : x
  2. Step 2: Convert to fraction form
    4,032.40/6,041.40 = 3,456.40/x
  3. Step 3: Cross multiply
    4,032.40x = 6,041.40 × 3,456.40
  4. Step 4: Simplify right side
    4,032.40x = 20,881,494.96
  5. Step 5: Solve for x
    x = 20,881,494.96/4,032.40
  6. Step 6: Final answer
    x = 5,178.43

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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.