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Finding the Fourth Proportional to 5,564.11, 7,678.86 and 3,575.29

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Solution

The fourth proportional to 5,564.11, 7,678.86 and 3,575.29 is: 4,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.11 : 7,678.86 = 3,575.29 : x
  2. Step 2: Convert to fraction form
    5,564.11/7,678.86 = 3,575.29/x
  3. Step 3: Cross multiply
    5,564.11x = 7,678.86 × 3,575.29
  4. Step 4: Simplify right side
    5,564.11x = 27,454,151.37
  5. Step 5: Solve for x
    x = 27,454,151.37/5,564.11
  6. Step 6: Final answer
    x = 4,934.15

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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.