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Finding the Fourth Proportional to 4,767.12, 6,578.80 and 2,642.72

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Solution

The fourth proportional to 4,767.12, 6,578.80 and 2,642.72 is: 3,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.12 : 6,578.80 = 2,642.72 : x
  2. Step 2: Convert to fraction form
    4,767.12/6,578.80 = 2,642.72/x
  3. Step 3: Cross multiply
    4,767.12x = 6,578.80 × 2,642.72
  4. Step 4: Simplify right side
    4,767.12x = 17,385,926.34
  5. Step 5: Solve for x
    x = 17,385,926.34/4,767.12
  6. Step 6: Final answer
    x = 3,647.05

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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.