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Finding the Fourth Proportional to 5,407.65, 7,461.26 and 3,728.52

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Solution

The fourth proportional to 5,407.65, 7,461.26 and 3,728.52 is: 5,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.65 : 7,461.26 = 3,728.52 : x
  2. Step 2: Convert to fraction form
    5,407.65/7,461.26 = 3,728.52/x
  3. Step 3: Cross multiply
    5,407.65x = 7,461.26 × 3,728.52
  4. Step 4: Simplify right side
    5,407.65x = 27,819,438.49
  5. Step 5: Solve for x
    x = 27,819,438.49/5,407.65
  6. Step 6: Final answer
    x = 5,144.46

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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.