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Finding the Fourth Proportional to 3,196, 4,792.56 and 1,248.16

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Solution

The fourth proportional to 3,196, 4,792.56 and 1,248.16 is: 1,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196 : 4,792.56 = 1,248.16 : x
  2. Step 2: Convert to fraction form
    3,196/4,792.56 = 1,248.16/x
  3. Step 3: Cross multiply
    3,196x = 4,792.56 × 1,248.16
  4. Step 4: Simplify right side
    3,196x = 5,981,881.69
  5. Step 5: Solve for x
    x = 5,981,881.69/3,196
  6. Step 6: Final answer
    x = 1,871.68

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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.