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Finding the Fourth Proportional to 2,859.32, 3,948.06 and 2,195.12

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Solution

The fourth proportional to 2,859.32, 3,948.06 and 2,195.12 is: 3,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.32 : 3,948.06 = 2,195.12 : x
  2. Step 2: Convert to fraction form
    2,859.32/3,948.06 = 2,195.12/x
  3. Step 3: Cross multiply
    2,859.32x = 3,948.06 × 2,195.12
  4. Step 4: Simplify right side
    2,859.32x = 8,666,465.47
  5. Step 5: Solve for x
    x = 8,666,465.47/2,859.32
  6. Step 6: Final answer
    x = 3,030.95

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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.