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Finding the Fourth Proportional to 5,740.66, 7,923.66 and 5,392.18

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Solution

The fourth proportional to 5,740.66, 7,923.66 and 5,392.18 is: 7,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.66 : 7,923.66 = 5,392.18 : x
  2. Step 2: Convert to fraction form
    5,740.66/7,923.66 = 5,392.18/x
  3. Step 3: Cross multiply
    5,740.66x = 7,923.66 × 5,392.18
  4. Step 4: Simplify right side
    5,740.66x = 42,725,800.98
  5. Step 5: Solve for x
    x = 42,725,800.98/5,740.66
  6. Step 6: Final answer
    x = 7,442.66

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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.