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Finding the Fourth Proportional to 4,207.65, 5,806.65 and 2,319.33

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Solution

The fourth proportional to 4,207.65, 5,806.65 and 2,319.33 is: 3,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.65 : 5,806.65 = 2,319.33 : x
  2. Step 2: Convert to fraction form
    4,207.65/5,806.65 = 2,319.33/x
  3. Step 3: Cross multiply
    4,207.65x = 5,806.65 × 2,319.33
  4. Step 4: Simplify right side
    4,207.65x = 13,467,568.02
  5. Step 5: Solve for x
    x = 13,467,568.02/4,207.65
  6. Step 6: Final answer
    x = 3,200.74

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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.