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Finding the Fourth Proportional to 5,565.76, 7,678.14 and 3,206.53

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Solution

The fourth proportional to 5,565.76, 7,678.14 and 3,206.53 is: 4,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.76 : 7,678.14 = 3,206.53 : x
  2. Step 2: Convert to fraction form
    5,565.76/7,678.14 = 3,206.53/x
  3. Step 3: Cross multiply
    5,565.76x = 7,678.14 × 3,206.53
  4. Step 4: Simplify right side
    5,565.76x = 24,620,186.25
  5. Step 5: Solve for x
    x = 24,620,186.25/5,565.76
  6. Step 6: Final answer
    x = 4,423.51

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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.