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Finding the Fourth Proportional to 5,581.91, 7,703.01 and 3,064.05

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Solution

The fourth proportional to 5,581.91, 7,703.01 and 3,064.05 is: 4,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.91 : 7,703.01 = 3,064.05 : x
  2. Step 2: Convert to fraction form
    5,581.91/7,703.01 = 3,064.05/x
  3. Step 3: Cross multiply
    5,581.91x = 7,703.01 × 3,064.05
  4. Step 4: Simplify right side
    5,581.91x = 23,602,407.79
  5. Step 5: Solve for x
    x = 23,602,407.79/5,581.91
  6. Step 6: Final answer
    x = 4,228.38

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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.