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Finding the Fourth Proportional to 5,490, 7,573.50 and 3,722.16

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Solution

The fourth proportional to 5,490, 7,573.50 and 3,722.16 is: 5,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 7,573.50 = 3,722.16 : x
  2. Step 2: Convert to fraction form
    5,490/7,573.50 = 3,722.16/x
  3. Step 3: Cross multiply
    5,490x = 7,573.50 × 3,722.16
  4. Step 4: Simplify right side
    5,490x = 28,189,778.76
  5. Step 5: Solve for x
    x = 28,189,778.76/5,490
  6. Step 6: Final answer
    x = 5,134.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.