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Finding the Fourth Proportional to 3,521.87, 5,282.02 and 1,056.87

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Solution

The fourth proportional to 3,521.87, 5,282.02 and 1,056.87 is: 1,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.87 : 5,282.02 = 1,056.87 : x
  2. Step 2: Convert to fraction form
    3,521.87/5,282.02 = 1,056.87/x
  3. Step 3: Cross multiply
    3,521.87x = 5,282.02 × 1,056.87
  4. Step 4: Simplify right side
    3,521.87x = 5,582,408.48
  5. Step 5: Solve for x
    x = 5,582,408.48/3,521.87
  6. Step 6: Final answer
    x = 1,585.07

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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.