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Finding the Fourth Proportional to 4,044.60, 6,071.76 and 3,000.24

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Solution

The fourth proportional to 4,044.60, 6,071.76 and 3,000.24 is: 4,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.60 : 6,071.76 = 3,000.24 : x
  2. Step 2: Convert to fraction form
    4,044.60/6,071.76 = 3,000.24/x
  3. Step 3: Cross multiply
    4,044.60x = 6,071.76 × 3,000.24
  4. Step 4: Simplify right side
    4,044.60x = 18,216,737.22
  5. Step 5: Solve for x
    x = 18,216,737.22/4,044.60
  6. Step 6: Final answer
    x = 4,503.97

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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.