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Finding the Fourth Proportional to 5,306.64, 7,322.76 and 2,948.64

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Solution

The fourth proportional to 5,306.64, 7,322.76 and 2,948.64 is: 4,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.64 : 7,322.76 = 2,948.64 : x
  2. Step 2: Convert to fraction form
    5,306.64/7,322.76 = 2,948.64/x
  3. Step 3: Cross multiply
    5,306.64x = 7,322.76 × 2,948.64
  4. Step 4: Simplify right side
    5,306.64x = 21,592,183.05
  5. Step 5: Solve for x
    x = 21,592,183.05/5,306.64
  6. Step 6: Final answer
    x = 4,068.90

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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.