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Finding the Fourth Proportional to 5,564.76, 7,678.52 and 3,575.58

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Solution

The fourth proportional to 5,564.76, 7,678.52 and 3,575.58 is: 4,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.76 : 7,678.52 = 3,575.58 : x
  2. Step 2: Convert to fraction form
    5,564.76/7,678.52 = 3,575.58/x
  3. Step 3: Cross multiply
    5,564.76x = 7,678.52 × 3,575.58
  4. Step 4: Simplify right side
    5,564.76x = 27,455,162.54
  5. Step 5: Solve for x
    x = 27,455,162.54/5,564.76
  6. Step 6: Final answer
    x = 4,933.76

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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.