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Finding the Fourth Proportional to 5,164.89, 7,730.92 and 4,071.39

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Solution

The fourth proportional to 5,164.89, 7,730.92 and 4,071.39 is: 6,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.89 : 7,730.92 = 4,071.39 : x
  2. Step 2: Convert to fraction form
    5,164.89/7,730.92 = 4,071.39/x
  3. Step 3: Cross multiply
    5,164.89x = 7,730.92 × 4,071.39
  4. Step 4: Simplify right side
    5,164.89x = 31,475,590.38
  5. Step 5: Solve for x
    x = 31,475,590.38/5,164.89
  6. Step 6: Final answer
    x = 6,094.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.