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Finding the Fourth Proportional to 4,752.98, 7,130.61 and 1,466.13

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Solution

The fourth proportional to 4,752.98, 7,130.61 and 1,466.13 is: 2,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.98 : 7,130.61 = 1,466.13 : x
  2. Step 2: Convert to fraction form
    4,752.98/7,130.61 = 1,466.13/x
  3. Step 3: Cross multiply
    4,752.98x = 7,130.61 × 1,466.13
  4. Step 4: Simplify right side
    4,752.98x = 10,454,401.24
  5. Step 5: Solve for x
    x = 10,454,401.24/4,752.98
  6. Step 6: Final answer
    x = 2,199.55

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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.