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Finding the Fourth Proportional to 5,728.48, 8,592.80 and 1,624.48

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Solution

The fourth proportional to 5,728.48, 8,592.80 and 1,624.48 is: 2,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.48 : 8,592.80 = 1,624.48 : x
  2. Step 2: Convert to fraction form
    5,728.48/8,592.80 = 1,624.48/x
  3. Step 3: Cross multiply
    5,728.48x = 8,592.80 × 1,624.48
  4. Step 4: Simplify right side
    5,728.48x = 13,958,831.74
  5. Step 5: Solve for x
    x = 13,958,831.74/5,728.48
  6. Step 6: Final answer
    x = 2,436.74

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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.