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Finding the Fourth Proportional to 3,454.44, 5,182.47 and 1,263.21

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Solution

The fourth proportional to 3,454.44, 5,182.47 and 1,263.21 is: 1,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.44 : 5,182.47 = 1,263.21 : x
  2. Step 2: Convert to fraction form
    3,454.44/5,182.47 = 1,263.21/x
  3. Step 3: Cross multiply
    3,454.44x = 5,182.47 × 1,263.21
  4. Step 4: Simplify right side
    3,454.44x = 6,546,547.93
  5. Step 5: Solve for x
    x = 6,546,547.93/3,454.44
  6. Step 6: Final answer
    x = 1,895.11

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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.