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Finding the Fourth Proportional to 5,581.99, 7,703.04 and 3,064.02

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Solution

The fourth proportional to 5,581.99, 7,703.04 and 3,064.02 is: 4,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.99 : 7,703.04 = 3,064.02 : x
  2. Step 2: Convert to fraction form
    5,581.99/7,703.04 = 3,064.02/x
  3. Step 3: Cross multiply
    5,581.99x = 7,703.04 × 3,064.02
  4. Step 4: Simplify right side
    5,581.99x = 23,602,268.62
  5. Step 5: Solve for x
    x = 23,602,268.62/5,581.99
  6. Step 6: Final answer
    x = 4,228.29

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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.