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Finding the Fourth Proportional to 5,140.78, 7,094.60 and 2,901.84

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Solution

The fourth proportional to 5,140.78, 7,094.60 and 2,901.84 is: 4,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.78 : 7,094.60 = 2,901.84 : x
  2. Step 2: Convert to fraction form
    5,140.78/7,094.60 = 2,901.84/x
  3. Step 3: Cross multiply
    5,140.78x = 7,094.60 × 2,901.84
  4. Step 4: Simplify right side
    5,140.78x = 20,587,394.06
  5. Step 5: Solve for x
    x = 20,587,394.06/5,140.78
  6. Step 6: Final answer
    x = 4,004.72

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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.