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Finding the Fourth Proportional to 3,574.01, 4,932.14 and 2,002.10

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Solution

The fourth proportional to 3,574.01, 4,932.14 and 2,002.10 is: 2,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.01 : 4,932.14 = 2,002.10 : x
  2. Step 2: Convert to fraction form
    3,574.01/4,932.14 = 2,002.10/x
  3. Step 3: Cross multiply
    3,574.01x = 4,932.14 × 2,002.10
  4. Step 4: Simplify right side
    3,574.01x = 9,874,602.82
  5. Step 5: Solve for x
    x = 9,874,602.82/3,574.01
  6. Step 6: Final answer
    x = 2,762.90

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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.