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Finding the Fourth Proportional to 5,787.76, 8,682 and 5,492.56

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Solution

The fourth proportional to 5,787.76, 8,682 and 5,492.56 is: 8,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.76 : 8,682 = 5,492.56 : x
  2. Step 2: Convert to fraction form
    5,787.76/8,682 = 5,492.56/x
  3. Step 3: Cross multiply
    5,787.76x = 8,682 × 5,492.56
  4. Step 4: Simplify right side
    5,787.76x = 47,686,405.92
  5. Step 5: Solve for x
    x = 47,686,405.92/5,787.76
  6. Step 6: Final answer
    x = 8,239.18

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1.5x scale

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.