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Finding the Fourth Proportional to 4,753.85, 7,131.76 and 1,466.87

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Solution

The fourth proportional to 4,753.85, 7,131.76 and 1,466.87 is: 2,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.85 : 7,131.76 = 1,466.87 : x
  2. Step 2: Convert to fraction form
    4,753.85/7,131.76 = 1,466.87/x
  3. Step 3: Cross multiply
    4,753.85x = 7,131.76 × 1,466.87
  4. Step 4: Simplify right side
    4,753.85x = 10,461,325.47
  5. Step 5: Solve for x
    x = 10,461,325.47/4,753.85
  6. Step 6: Final answer
    x = 2,200.60

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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.