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Finding the Fourth Proportional to 4,349.20, 6,568.06 and 4,349.20

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Solution

The fourth proportional to 4,349.20, 6,568.06 and 4,349.20 is: 6,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.20 : 6,568.06 = 4,349.20 : x
  2. Step 2: Convert to fraction form
    4,349.20/6,568.06 = 4,349.20/x
  3. Step 3: Cross multiply
    4,349.20x = 6,568.06 × 4,349.20
  4. Step 4: Simplify right side
    4,349.20x = 28,565,806.55
  5. Step 5: Solve for x
    x = 28,565,806.55/4,349.20
  6. Step 6: Final answer
    x = 6,568.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.