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Finding the Fourth Proportional to 5,683.84, 8,526.88 and 2,764.16

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Solution

The fourth proportional to 5,683.84, 8,526.88 and 2,764.16 is: 4,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.84 : 8,526.88 = 2,764.16 : x
  2. Step 2: Convert to fraction form
    5,683.84/8,526.88 = 2,764.16/x
  3. Step 3: Cross multiply
    5,683.84x = 8,526.88 × 2,764.16
  4. Step 4: Simplify right side
    5,683.84x = 23,569,660.62
  5. Step 5: Solve for x
    x = 23,569,660.62/5,683.84
  6. Step 6: Final answer
    x = 4,146.78

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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.