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Finding the Fourth Proportional to 3,710.23, 5,565.33 and 937.11

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Solution

The fourth proportional to 3,710.23, 5,565.33 and 937.11 is: 1,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.23 : 5,565.33 = 937.11 : x
  2. Step 2: Convert to fraction form
    3,710.23/5,565.33 = 937.11/x
  3. Step 3: Cross multiply
    3,710.23x = 5,565.33 × 937.11
  4. Step 4: Simplify right side
    3,710.23x = 5,215,347.27
  5. Step 5: Solve for x
    x = 5,215,347.27/3,710.23
  6. Step 6: Final answer
    x = 1,405.67

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1.5x scale

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.