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Finding the Fourth Proportional to 4,565.49, 6,844.14 and 1,641.75

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Solution

The fourth proportional to 4,565.49, 6,844.14 and 1,641.75 is: 2,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.49 : 6,844.14 = 1,641.75 : x
  2. Step 2: Convert to fraction form
    4,565.49/6,844.14 = 1,641.75/x
  3. Step 3: Cross multiply
    4,565.49x = 6,844.14 × 1,641.75
  4. Step 4: Simplify right side
    4,565.49x = 11,236,366.85
  5. Step 5: Solve for x
    x = 11,236,366.85/4,565.49
  6. Step 6: Final answer
    x = 2,461.15

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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.