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Finding the Fourth Proportional to 6,337.95, 8,746.01 and 3,505.16

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Solution

The fourth proportional to 6,337.95, 8,746.01 and 3,505.16 is: 4,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.95 : 8,746.01 = 3,505.16 : x
  2. Step 2: Convert to fraction form
    6,337.95/8,746.01 = 3,505.16/x
  3. Step 3: Cross multiply
    6,337.95x = 8,746.01 × 3,505.16
  4. Step 4: Simplify right side
    6,337.95x = 30,656,164.41
  5. Step 5: Solve for x
    x = 30,656,164.41/6,337.95
  6. Step 6: Final answer
    x = 4,836.92

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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.