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Finding the Fourth Proportional to 4,491.78, 6,690.20 and 4,257.58

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Solution

The fourth proportional to 4,491.78, 6,690.20 and 4,257.58 is: 6,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.78 : 6,690.20 = 4,257.58 : x
  2. Step 2: Convert to fraction form
    4,491.78/6,690.20 = 4,257.58/x
  3. Step 3: Cross multiply
    4,491.78x = 6,690.20 × 4,257.58
  4. Step 4: Simplify right side
    4,491.78x = 28,484,061.72
  5. Step 5: Solve for x
    x = 28,484,061.72/4,491.78
  6. Step 6: Final answer
    x = 6,341.38

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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.