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Finding the Fourth Proportional to 5,142.95, 7,097.69 and 2,905.37

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Solution

The fourth proportional to 5,142.95, 7,097.69 and 2,905.37 is: 4,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.95 : 7,097.69 = 2,905.37 : x
  2. Step 2: Convert to fraction form
    5,142.95/7,097.69 = 2,905.37/x
  3. Step 3: Cross multiply
    5,142.95x = 7,097.69 × 2,905.37
  4. Step 4: Simplify right side
    5,142.95x = 20,621,401.07
  5. Step 5: Solve for x
    x = 20,621,401.07/5,142.95
  6. Step 6: Final answer
    x = 4,009.64

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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.