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Finding the Fourth Proportional to 5,306.75, 7,323.03 and 2,948.75

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Solution

The fourth proportional to 5,306.75, 7,323.03 and 2,948.75 is: 4,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.75 : 7,323.03 = 2,948.75 : x
  2. Step 2: Convert to fraction form
    5,306.75/7,323.03 = 2,948.75/x
  3. Step 3: Cross multiply
    5,306.75x = 7,323.03 × 2,948.75
  4. Step 4: Simplify right side
    5,306.75x = 21,593,784.71
  5. Step 5: Solve for x
    x = 21,593,784.71/5,306.75
  6. Step 6: Final answer
    x = 4,069.12

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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.