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Finding the Fourth Proportional to 3,249, 4,871.07 and 1,056.42

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Solution

The fourth proportional to 3,249, 4,871.07 and 1,056.42 is: 1,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249 : 4,871.07 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    3,249/4,871.07 = 1,056.42/x
  3. Step 3: Cross multiply
    3,249x = 4,871.07 × 1,056.42
  4. Step 4: Simplify right side
    3,249x = 5,145,895.77
  5. Step 5: Solve for x
    x = 5,145,895.77/3,249
  6. Step 6: Final answer
    x = 1,583.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.