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Finding the Fourth Proportional to 5,285.96, 7,928.98 and 1,588.22

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Solution

The fourth proportional to 5,285.96, 7,928.98 and 1,588.22 is: 2,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.96 : 7,928.98 = 1,588.22 : x
  2. Step 2: Convert to fraction form
    5,285.96/7,928.98 = 1,588.22/x
  3. Step 3: Cross multiply
    5,285.96x = 7,928.98 × 1,588.22
  4. Step 4: Simplify right side
    5,285.96x = 12,592,964.62
  5. Step 5: Solve for x
    x = 12,592,964.62/5,285.96
  6. Step 6: Final answer
    x = 2,382.34

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Similar ratio
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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.