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Finding the Fourth Proportional to 5,102.46, 7,041.90 and 3,114.35

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Solution

The fourth proportional to 5,102.46, 7,041.90 and 3,114.35 is: 4,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.46 : 7,041.90 = 3,114.35 : x
  2. Step 2: Convert to fraction form
    5,102.46/7,041.90 = 3,114.35/x
  3. Step 3: Cross multiply
    5,102.46x = 7,041.90 × 3,114.35
  4. Step 4: Simplify right side
    5,102.46x = 21,930,944.14
  5. Step 5: Solve for x
    x = 21,930,944.14/5,102.46
  6. Step 6: Final answer
    x = 4,298.11

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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.