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Finding the Fourth Proportional to 5,788.44, 7,988.12 and 3,430.13

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Solution

The fourth proportional to 5,788.44, 7,988.12 and 3,430.13 is: 4,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.44 : 7,988.12 = 3,430.13 : x
  2. Step 2: Convert to fraction form
    5,788.44/7,988.12 = 3,430.13/x
  3. Step 3: Cross multiply
    5,788.44x = 7,988.12 × 3,430.13
  4. Step 4: Simplify right side
    5,788.44x = 27,400,290.06
  5. Step 5: Solve for x
    x = 27,400,290.06/5,788.44
  6. Step 6: Final answer
    x = 4,733.62

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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.