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Finding the Fourth Proportional to 5,565.66, 7,678.40 and 3,575.90

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Solution

The fourth proportional to 5,565.66, 7,678.40 and 3,575.90 is: 4,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.66 : 7,678.40 = 3,575.90 : x
  2. Step 2: Convert to fraction form
    5,565.66/7,678.40 = 3,575.90/x
  3. Step 3: Cross multiply
    5,565.66x = 7,678.40 × 3,575.90
  4. Step 4: Simplify right side
    5,565.66x = 27,457,190.56
  5. Step 5: Solve for x
    x = 27,457,190.56/5,565.66
  6. Step 6: Final answer
    x = 4,933.32

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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.