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Finding the Fourth Proportional to 5,306.95, 7,323.96 and 2,949.24

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Solution

The fourth proportional to 5,306.95, 7,323.96 and 2,949.24 is: 4,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.95 : 7,323.96 = 2,949.24 : x
  2. Step 2: Convert to fraction form
    5,306.95/7,323.96 = 2,949.24/x
  3. Step 3: Cross multiply
    5,306.95x = 7,323.96 × 2,949.24
  4. Step 4: Simplify right side
    5,306.95x = 21,600,110.26
  5. Step 5: Solve for x
    x = 21,600,110.26/5,306.95
  6. Step 6: Final answer
    x = 4,070.16

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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.