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Finding the Fourth Proportional to 3,417.86, 5,122.32 and 3,332

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Solution

The fourth proportional to 3,417.86, 5,122.32 and 3,332 is: 4,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.86 : 5,122.32 = 3,332 : x
  2. Step 2: Convert to fraction form
    3,417.86/5,122.32 = 3,332/x
  3. Step 3: Cross multiply
    3,417.86x = 5,122.32 × 3,332
  4. Step 4: Simplify right side
    3,417.86x = 17,067,570.24
  5. Step 5: Solve for x
    x = 17,067,570.24/3,417.86
  6. Step 6: Final answer
    x = 4,993.64

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