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Finding the Fourth Proportional to 4,493.84, 6,732.24 and 2,547.40

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Solution

The fourth proportional to 4,493.84, 6,732.24 and 2,547.40 is: 3,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.84 : 6,732.24 = 2,547.40 : x
  2. Step 2: Convert to fraction form
    4,493.84/6,732.24 = 2,547.40/x
  3. Step 3: Cross multiply
    4,493.84x = 6,732.24 × 2,547.40
  4. Step 4: Simplify right side
    4,493.84x = 17,149,708.18
  5. Step 5: Solve for x
    x = 17,149,708.18/4,493.84
  6. Step 6: Final answer
    x = 3,816.27

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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.