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Finding the Fourth Proportional to 5,567.32, 7,680.18 and 4,682.80

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Solution

The fourth proportional to 5,567.32, 7,680.18 and 4,682.80 is: 6,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.32 : 7,680.18 = 4,682.80 : x
  2. Step 2: Convert to fraction form
    5,567.32/7,680.18 = 4,682.80/x
  3. Step 3: Cross multiply
    5,567.32x = 7,680.18 × 4,682.80
  4. Step 4: Simplify right side
    5,567.32x = 35,964,746.90
  5. Step 5: Solve for x
    x = 35,964,746.90/5,567.32
  6. Step 6: Final answer
    x = 6,459.97

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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.