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Finding the Fourth Proportional to 5,306.54, 7,323 and 2,948.66

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Solution

The fourth proportional to 5,306.54, 7,323 and 2,948.66 is: 4,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.54 : 7,323 = 2,948.66 : x
  2. Step 2: Convert to fraction form
    5,306.54/7,323 = 2,948.66/x
  3. Step 3: Cross multiply
    5,306.54x = 7,323 × 2,948.66
  4. Step 4: Simplify right side
    5,306.54x = 21,593,037.18
  5. Step 5: Solve for x
    x = 21,593,037.18/5,306.54
  6. Step 6: Final answer
    x = 4,069.14

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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.