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Finding the Fourth Proportional to 5,726.64, 7,901.22 and 3,710.67

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Solution

The fourth proportional to 5,726.64, 7,901.22 and 3,710.67 is: 5,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.64 : 7,901.22 = 3,710.67 : x
  2. Step 2: Convert to fraction form
    5,726.64/7,901.22 = 3,710.67/x
  3. Step 3: Cross multiply
    5,726.64x = 7,901.22 × 3,710.67
  4. Step 4: Simplify right side
    5,726.64x = 29,318,820.02
  5. Step 5: Solve for x
    x = 29,318,820.02/5,726.64
  6. Step 6: Final answer
    x = 5,119.72

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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.