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Finding the Fourth Proportional to 4,460.66, 6,691.76 and 1,538.29

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Solution

The fourth proportional to 4,460.66, 6,691.76 and 1,538.29 is: 2,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.66 : 6,691.76 = 1,538.29 : x
  2. Step 2: Convert to fraction form
    4,460.66/6,691.76 = 1,538.29/x
  3. Step 3: Cross multiply
    4,460.66x = 6,691.76 × 1,538.29
  4. Step 4: Simplify right side
    4,460.66x = 10,293,843.07
  5. Step 5: Solve for x
    x = 10,293,843.07/4,460.66
  6. Step 6: Final answer
    x = 2,307.69

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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.