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Finding the Fourth Proportional to 4,744.40, 6,547.24 and 2,648.40

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Solution

The fourth proportional to 4,744.40, 6,547.24 and 2,648.40 is: 3,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.40 : 6,547.24 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    4,744.40/6,547.24 = 2,648.40/x
  3. Step 3: Cross multiply
    4,744.40x = 6,547.24 × 2,648.40
  4. Step 4: Simplify right side
    4,744.40x = 17,339,710.42
  5. Step 5: Solve for x
    x = 17,339,710.42/4,744.40
  6. Step 6: Final answer
    x = 3,654.77

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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.