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Finding the Fourth Proportional to 5,306.59, 7,323.07 and 2,948.68

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Solution

The fourth proportional to 5,306.59, 7,323.07 and 2,948.68 is: 4,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.59 : 7,323.07 = 2,948.68 : x
  2. Step 2: Convert to fraction form
    5,306.59/7,323.07 = 2,948.68/x
  3. Step 3: Cross multiply
    5,306.59x = 7,323.07 × 2,948.68
  4. Step 4: Simplify right side
    5,306.59x = 21,593,390.05
  5. Step 5: Solve for x
    x = 21,593,390.05/5,306.59
  6. Step 6: Final answer
    x = 4,069.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.