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Finding the Fourth Proportional to 5,123.67, 7,071.18 and 2,999.08

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Solution

The fourth proportional to 5,123.67, 7,071.18 and 2,999.08 is: 4,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.67 : 7,071.18 = 2,999.08 : x
  2. Step 2: Convert to fraction form
    5,123.67/7,071.18 = 2,999.08/x
  3. Step 3: Cross multiply
    5,123.67x = 7,071.18 × 2,999.08
  4. Step 4: Simplify right side
    5,123.67x = 21,207,009.20
  5. Step 5: Solve for x
    x = 21,207,009.20/5,123.67
  6. Step 6: Final answer
    x = 4,139.03

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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.