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Finding the Fourth Proportional to 4,753.43, 7,130.18 and 1,466.45

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Solution

The fourth proportional to 4,753.43, 7,130.18 and 1,466.45 is: 2,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.43 : 7,130.18 = 1,466.45 : x
  2. Step 2: Convert to fraction form
    4,753.43/7,130.18 = 1,466.45/x
  3. Step 3: Cross multiply
    4,753.43x = 7,130.18 × 1,466.45
  4. Step 4: Simplify right side
    4,753.43x = 10,456,073.95
  5. Step 5: Solve for x
    x = 10,456,073.95/4,753.43
  6. Step 6: Final answer
    x = 2,199.69

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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.