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Finding the Fourth Proportional to 3,574.05, 4,932.25 and 2,002.14

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Solution

The fourth proportional to 3,574.05, 4,932.25 and 2,002.14 is: 2,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.05 : 4,932.25 = 2,002.14 : x
  2. Step 2: Convert to fraction form
    3,574.05/4,932.25 = 2,002.14/x
  3. Step 3: Cross multiply
    3,574.05x = 4,932.25 × 2,002.14
  4. Step 4: Simplify right side
    3,574.05x = 9,875,055.02
  5. Step 5: Solve for x
    x = 9,875,055.02/3,574.05
  6. Step 6: Final answer
    x = 2,762.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.