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Finding the Fourth Proportional to 5,567.84, 7,676.32 and 4,624.48

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Solution

The fourth proportional to 5,567.84, 7,676.32 and 4,624.48 is: 6,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.84 : 7,676.32 = 4,624.48 : x
  2. Step 2: Convert to fraction form
    5,567.84/7,676.32 = 4,624.48/x
  3. Step 3: Cross multiply
    5,567.84x = 7,676.32 × 4,624.48
  4. Step 4: Simplify right side
    5,567.84x = 35,498,988.31
  5. Step 5: Solve for x
    x = 35,498,988.31/5,567.84
  6. Step 6: Final answer
    x = 6,375.72

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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.