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Finding the Fourth Proportional to 3,225.76, 4,839.44 and 917.24

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Solution

The fourth proportional to 3,225.76, 4,839.44 and 917.24 is: 1,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.76 : 4,839.44 = 917.24 : x
  2. Step 2: Convert to fraction form
    3,225.76/4,839.44 = 917.24/x
  3. Step 3: Cross multiply
    3,225.76x = 4,839.44 × 917.24
  4. Step 4: Simplify right side
    3,225.76x = 4,438,927.95
  5. Step 5: Solve for x
    x = 4,438,927.95/3,225.76
  6. Step 6: Final answer
    x = 1,376.09

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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.