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Finding the Fourth Proportional to 5,703.33, 7,867.49 and 4,642.23

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Solution

The fourth proportional to 5,703.33, 7,867.49 and 4,642.23 is: 6,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.33 : 7,867.49 = 4,642.23 : x
  2. Step 2: Convert to fraction form
    5,703.33/7,867.49 = 4,642.23/x
  3. Step 3: Cross multiply
    5,703.33x = 7,867.49 × 4,642.23
  4. Step 4: Simplify right side
    5,703.33x = 36,522,698.10
  5. Step 5: Solve for x
    x = 36,522,698.10/5,703.33
  6. Step 6: Final answer
    x = 6,403.75

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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.