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Finding the Fourth Proportional to 3,573.57, 5,360.45 and 976.53

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Solution

The fourth proportional to 3,573.57, 5,360.45 and 976.53 is: 1,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.57 : 5,360.45 = 976.53 : x
  2. Step 2: Convert to fraction form
    3,573.57/5,360.45 = 976.53/x
  3. Step 3: Cross multiply
    3,573.57x = 5,360.45 × 976.53
  4. Step 4: Simplify right side
    3,573.57x = 5,234,635.36
  5. Step 5: Solve for x
    x = 5,234,635.36/3,573.57
  6. Step 6: Final answer
    x = 1,464.82

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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.