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Finding the Fourth Proportional to 5,703.71, 7,871.04 and 4,023.36

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Solution

The fourth proportional to 5,703.71, 7,871.04 and 4,023.36 is: 5,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.71 : 7,871.04 = 4,023.36 : x
  2. Step 2: Convert to fraction form
    5,703.71/7,871.04 = 4,023.36/x
  3. Step 3: Cross multiply
    5,703.71x = 7,871.04 × 4,023.36
  4. Step 4: Simplify right side
    5,703.71x = 31,668,027.49
  5. Step 5: Solve for x
    x = 31,668,027.49/5,703.71
  6. Step 6: Final answer
    x = 5,552.19

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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.