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Finding the Fourth Proportional to 5,567.86, 7,685.04 and 3,209.68

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Solution

The fourth proportional to 5,567.86, 7,685.04 and 3,209.68 is: 4,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.86 : 7,685.04 = 3,209.68 : x
  2. Step 2: Convert to fraction form
    5,567.86/7,685.04 = 3,209.68/x
  3. Step 3: Cross multiply
    5,567.86x = 7,685.04 × 3,209.68
  4. Step 4: Simplify right side
    5,567.86x = 24,666,519.19
  5. Step 5: Solve for x
    x = 24,666,519.19/5,567.86
  6. Step 6: Final answer
    x = 4,430.16

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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.