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Finding the Fourth Proportional to 3,307.68, 4,564.82 and 2,186.66

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Solution

The fourth proportional to 3,307.68, 4,564.82 and 2,186.66 is: 3,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.68 : 4,564.82 = 2,186.66 : x
  2. Step 2: Convert to fraction form
    3,307.68/4,564.82 = 2,186.66/x
  3. Step 3: Cross multiply
    3,307.68x = 4,564.82 × 2,186.66
  4. Step 4: Simplify right side
    3,307.68x = 9,981,726.18
  5. Step 5: Solve for x
    x = 9,981,726.18/3,307.68
  6. Step 6: Final answer
    x = 3,017.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.