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Finding the Fourth Proportional to 4,498.98, 6,748.67 and 2,307.12

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Solution

The fourth proportional to 4,498.98, 6,748.67 and 2,307.12 is: 3,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.98 : 6,748.67 = 2,307.12 : x
  2. Step 2: Convert to fraction form
    4,498.98/6,748.67 = 2,307.12/x
  3. Step 3: Cross multiply
    4,498.98x = 6,748.67 × 2,307.12
  4. Step 4: Simplify right side
    4,498.98x = 15,569,991.53
  5. Step 5: Solve for x
    x = 15,569,991.53/4,498.98
  6. Step 6: Final answer
    x = 3,460.78

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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.