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Finding the Fourth Proportional to 5,306.16, 7,322.73 and 2,948.30

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Solution

The fourth proportional to 5,306.16, 7,322.73 and 2,948.30 is: 4,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.16 : 7,322.73 = 2,948.30 : x
  2. Step 2: Convert to fraction form
    5,306.16/7,322.73 = 2,948.30/x
  3. Step 3: Cross multiply
    5,306.16x = 7,322.73 × 2,948.30
  4. Step 4: Simplify right side
    5,306.16x = 21,589,568.25
  5. Step 5: Solve for x
    x = 21,589,568.25/5,306.16
  6. Step 6: Final answer
    x = 4,068.77

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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.