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Finding the Fourth Proportional to 5,567.34, 7,641.98 and 4,923.76

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Solution

The fourth proportional to 5,567.34, 7,641.98 and 4,923.76 is: 6,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.34 : 7,641.98 = 4,923.76 : x
  2. Step 2: Convert to fraction form
    5,567.34/7,641.98 = 4,923.76/x
  3. Step 3: Cross multiply
    5,567.34x = 7,641.98 × 4,923.76
  4. Step 4: Simplify right side
    5,567.34x = 37,627,275.44
  5. Step 5: Solve for x
    x = 37,627,275.44/5,567.34
  6. Step 6: Final answer
    x = 6,758.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.