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Finding the Fourth Proportional to 3,017.76, 4,527.82 and 937.93

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Solution

The fourth proportional to 3,017.76, 4,527.82 and 937.93 is: 1,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.76 : 4,527.82 = 937.93 : x
  2. Step 2: Convert to fraction form
    3,017.76/4,527.82 = 937.93/x
  3. Step 3: Cross multiply
    3,017.76x = 4,527.82 × 937.93
  4. Step 4: Simplify right side
    3,017.76x = 4,246,778.21
  5. Step 5: Solve for x
    x = 4,246,778.21/3,017.76
  6. Step 6: Final answer
    x = 1,407.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.