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Finding the Fourth Proportional to 5,055.34, 6,980.67 and 3,170.08

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Solution

The fourth proportional to 5,055.34, 6,980.67 and 3,170.08 is: 4,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.34 : 6,980.67 = 3,170.08 : x
  2. Step 2: Convert to fraction form
    5,055.34/6,980.67 = 3,170.08/x
  3. Step 3: Cross multiply
    5,055.34x = 6,980.67 × 3,170.08
  4. Step 4: Simplify right side
    5,055.34x = 22,129,282.35
  5. Step 5: Solve for x
    x = 22,129,282.35/5,055.34
  6. Step 6: Final answer
    x = 4,377.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.