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Finding the Fourth Proportional to 5,110, 7,051.80 and 2,902

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Solution

The fourth proportional to 5,110, 7,051.80 and 2,902 is: 4,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110 : 7,051.80 = 2,902 : x
  2. Step 2: Convert to fraction form
    5,110/7,051.80 = 2,902/x
  3. Step 3: Cross multiply
    5,110x = 7,051.80 × 2,902
  4. Step 4: Simplify right side
    5,110x = 20,464,323.60
  5. Step 5: Solve for x
    x = 20,464,323.60/5,110
  6. Step 6: Final answer
    x = 4,004.76

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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.