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Finding the Fourth Proportional to 4,029.60, 6,044.02 and 1,432.40

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Solution

The fourth proportional to 4,029.60, 6,044.02 and 1,432.40 is: 2,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.60 : 6,044.02 = 1,432.40 : x
  2. Step 2: Convert to fraction form
    4,029.60/6,044.02 = 1,432.40/x
  3. Step 3: Cross multiply
    4,029.60x = 6,044.02 × 1,432.40
  4. Step 4: Simplify right side
    4,029.60x = 8,657,454.25
  5. Step 5: Solve for x
    x = 8,657,454.25/4,029.60
  6. Step 6: Final answer
    x = 2,148.46

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