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Finding the Fourth Proportional to 4,864.64, 7,290.80 and 2,643.38

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Solution

The fourth proportional to 4,864.64, 7,290.80 and 2,643.38 is: 3,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.64 : 7,290.80 = 2,643.38 : x
  2. Step 2: Convert to fraction form
    4,864.64/7,290.80 = 2,643.38/x
  3. Step 3: Cross multiply
    4,864.64x = 7,290.80 × 2,643.38
  4. Step 4: Simplify right side
    4,864.64x = 19,272,325.06
  5. Step 5: Solve for x
    x = 19,272,325.06/4,864.64
  6. Step 6: Final answer
    x = 3,961.72

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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.