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Finding the Fourth Proportional to 5,306.56, 7,323 and 2,948.65

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Solution

The fourth proportional to 5,306.56, 7,323 and 2,948.65 is: 4,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.56 : 7,323 = 2,948.65 : x
  2. Step 2: Convert to fraction form
    5,306.56/7,323 = 2,948.65/x
  3. Step 3: Cross multiply
    5,306.56x = 7,323 × 2,948.65
  4. Step 4: Simplify right side
    5,306.56x = 21,592,963.95
  5. Step 5: Solve for x
    x = 21,592,963.95/5,306.56
  6. Step 6: Final answer
    x = 4,069.11

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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.