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Finding the Fourth Proportional to 3,448.52, 5,173.47 and 1,256.97

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Solution

The fourth proportional to 3,448.52, 5,173.47 and 1,256.97 is: 1,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.52 : 5,173.47 = 1,256.97 : x
  2. Step 2: Convert to fraction form
    3,448.52/5,173.47 = 1,256.97/x
  3. Step 3: Cross multiply
    3,448.52x = 5,173.47 × 1,256.97
  4. Step 4: Simplify right side
    3,448.52x = 6,502,886.89
  5. Step 5: Solve for x
    x = 6,502,886.89/3,448.52
  6. Step 6: Final answer
    x = 1,885.70

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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.