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Finding the Fourth Proportional to 6,337.68, 8,746.05 and 3,505.24

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Solution

The fourth proportional to 6,337.68, 8,746.05 and 3,505.24 is: 4,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.68 : 8,746.05 = 3,505.24 : x
  2. Step 2: Convert to fraction form
    6,337.68/8,746.05 = 3,505.24/x
  3. Step 3: Cross multiply
    6,337.68x = 8,746.05 × 3,505.24
  4. Step 4: Simplify right side
    6,337.68x = 30,657,004.30
  5. Step 5: Solve for x
    x = 30,657,004.30/6,337.68
  6. Step 6: Final answer
    x = 4,837.26

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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.