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Finding the Fourth Proportional to 4,641.64, 6,963.36 and 4,176.89

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Solution

The fourth proportional to 4,641.64, 6,963.36 and 4,176.89 is: 6,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.64 : 6,963.36 = 4,176.89 : x
  2. Step 2: Convert to fraction form
    4,641.64/6,963.36 = 4,176.89/x
  3. Step 3: Cross multiply
    4,641.64x = 6,963.36 × 4,176.89
  4. Step 4: Simplify right side
    4,641.64x = 29,085,188.75
  5. Step 5: Solve for x
    x = 29,085,188.75/4,641.64
  6. Step 6: Final answer
    x = 6,266.15

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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.