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Finding the Fourth Proportional to 4,641.57, 6,962.75 and 1,178.82

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Solution

The fourth proportional to 4,641.57, 6,962.75 and 1,178.82 is: 1,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.57 : 6,962.75 = 1,178.82 : x
  2. Step 2: Convert to fraction form
    4,641.57/6,962.75 = 1,178.82/x
  3. Step 3: Cross multiply
    4,641.57x = 6,962.75 × 1,178.82
  4. Step 4: Simplify right side
    4,641.57x = 8,207,823.06
  5. Step 5: Solve for x
    x = 8,207,823.06/4,641.57
  6. Step 6: Final answer
    x = 1,768.33

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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.