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Finding the Fourth Proportional to 4,767.34, 6,578.73 and 2,642.87

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Solution

The fourth proportional to 4,767.34, 6,578.73 and 2,642.87 is: 3,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.34 : 6,578.73 = 2,642.87 : x
  2. Step 2: Convert to fraction form
    4,767.34/6,578.73 = 2,642.87/x
  3. Step 3: Cross multiply
    4,767.34x = 6,578.73 × 2,642.87
  4. Step 4: Simplify right side
    4,767.34x = 17,386,728.16
  5. Step 5: Solve for x
    x = 17,386,728.16/4,767.34
  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.