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Finding the Fourth Proportional to 5,746.55, 7,913.84 and 5,174.48

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Solution

The fourth proportional to 5,746.55, 7,913.84 and 5,174.48 is: 7,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.55 : 7,913.84 = 5,174.48 : x
  2. Step 2: Convert to fraction form
    5,746.55/7,913.84 = 5,174.48/x
  3. Step 3: Cross multiply
    5,746.55x = 7,913.84 × 5,174.48
  4. Step 4: Simplify right side
    5,746.55x = 40,950,000.72
  5. Step 5: Solve for x
    x = 40,950,000.72/5,746.55
  6. Step 6: Final answer
    x = 7,126.02

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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.