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Finding the Fourth Proportional to 5,026.76, 7,541.41 and 2,948.50

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Solution

The fourth proportional to 5,026.76, 7,541.41 and 2,948.50 is: 4,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.76 : 7,541.41 = 2,948.50 : x
  2. Step 2: Convert to fraction form
    5,026.76/7,541.41 = 2,948.50/x
  3. Step 3: Cross multiply
    5,026.76x = 7,541.41 × 2,948.50
  4. Step 4: Simplify right side
    5,026.76x = 22,235,847.39
  5. Step 5: Solve for x
    x = 22,235,847.39/5,026.76
  6. Step 6: Final answer
    x = 4,423.49

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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.