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Finding the Fourth Proportional to 3,424.02, 4,725 and 2,080.38

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Solution

The fourth proportional to 3,424.02, 4,725 and 2,080.38 is: 2,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.02 : 4,725 = 2,080.38 : x
  2. Step 2: Convert to fraction form
    3,424.02/4,725 = 2,080.38/x
  3. Step 3: Cross multiply
    3,424.02x = 4,725 × 2,080.38
  4. Step 4: Simplify right side
    3,424.02x = 9,829,795.50
  5. Step 5: Solve for x
    x = 9,829,795.50/3,424.02
  6. Step 6: Final answer
    x = 2,870.83

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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.