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Finding the Fourth Proportional to 5,407.70, 7,462.64 and 3,017.66

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Solution

The fourth proportional to 5,407.70, 7,462.64 and 3,017.66 is: 4,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.70 : 7,462.64 = 3,017.66 : x
  2. Step 2: Convert to fraction form
    5,407.70/7,462.64 = 3,017.66/x
  3. Step 3: Cross multiply
    5,407.70x = 7,462.64 × 3,017.66
  4. Step 4: Simplify right side
    5,407.70x = 22,519,657.82
  5. Step 5: Solve for x
    x = 22,519,657.82/5,407.70
  6. Step 6: Final answer
    x = 4,164.37

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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.