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Finding the Fourth Proportional to 5,306.56, 7,321.84 and 3,210.64

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Solution

The fourth proportional to 5,306.56, 7,321.84 and 3,210.64 is: 4,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.56 : 7,321.84 = 3,210.64 : x
  2. Step 2: Convert to fraction form
    5,306.56/7,321.84 = 3,210.64/x
  3. Step 3: Cross multiply
    5,306.56x = 7,321.84 × 3,210.64
  4. Step 4: Simplify right side
    5,306.56x = 23,507,792.38
  5. Step 5: Solve for x
    x = 23,507,792.38/5,306.56
  6. Step 6: Final answer
    x = 4,429.95

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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.