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Finding the Fourth Proportional to 5,063.67, 6,987.96 and 3,074.00

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Solution

The fourth proportional to 5,063.67, 6,987.96 and 3,074.00 is: 4,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.67 : 6,987.96 = 3,074.00 : x
  2. Step 2: Convert to fraction form
    5,063.67/6,987.96 = 3,074.00/x
  3. Step 3: Cross multiply
    5,063.67x = 6,987.96 × 3,074.00
  4. Step 4: Simplify right side
    5,063.67x = 21,480,954.10
  5. Step 5: Solve for x
    x = 21,480,954.10/5,063.67
  6. Step 6: Final answer
    x = 4,242.17

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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.