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Finding the Fourth Proportional to 4,652.92, 6,970.24 and 2,701.04

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Solution

The fourth proportional to 4,652.92, 6,970.24 and 2,701.04 is: 4,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.92 : 6,970.24 = 2,701.04 : x
  2. Step 2: Convert to fraction form
    4,652.92/6,970.24 = 2,701.04/x
  3. Step 3: Cross multiply
    4,652.92x = 6,970.24 × 2,701.04
  4. Step 4: Simplify right side
    4,652.92x = 18,826,897.05
  5. Step 5: Solve for x
    x = 18,826,897.05/4,652.92
  6. Step 6: Final answer
    x = 4,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.