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Finding the Fourth Proportional to 5,134.95, 7,702.65 and 2,668.23

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Solution

The fourth proportional to 5,134.95, 7,702.65 and 2,668.23 is: 4,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.95 : 7,702.65 = 2,668.23 : x
  2. Step 2: Convert to fraction form
    5,134.95/7,702.65 = 2,668.23/x
  3. Step 3: Cross multiply
    5,134.95x = 7,702.65 × 2,668.23
  4. Step 4: Simplify right side
    5,134.95x = 20,552,441.81
  5. Step 5: Solve for x
    x = 20,552,441.81/5,134.95
  6. Step 6: Final answer
    x = 4,002.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.