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Finding the Fourth Proportional to 5,595.64, 7,721.82 and 3,077.76

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Solution

The fourth proportional to 5,595.64, 7,721.82 and 3,077.76 is: 4,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.64 : 7,721.82 = 3,077.76 : x
  2. Step 2: Convert to fraction form
    5,595.64/7,721.82 = 3,077.76/x
  3. Step 3: Cross multiply
    5,595.64x = 7,721.82 × 3,077.76
  4. Step 4: Simplify right side
    5,595.64x = 23,765,908.72
  5. Step 5: Solve for x
    x = 23,765,908.72/5,595.64
  6. Step 6: Final answer
    x = 4,247.22

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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.