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Finding the Fourth Proportional to 4,478.76, 6,685.26 and 4,148.90

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Solution

The fourth proportional to 4,478.76, 6,685.26 and 4,148.90 is: 6,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.76 : 6,685.26 = 4,148.90 : x
  2. Step 2: Convert to fraction form
    4,478.76/6,685.26 = 4,148.90/x
  3. Step 3: Cross multiply
    4,478.76x = 6,685.26 × 4,148.90
  4. Step 4: Simplify right side
    4,478.76x = 27,736,475.21
  5. Step 5: Solve for x
    x = 27,736,475.21/4,478.76
  6. Step 6: Final answer
    x = 6,192.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.