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Finding the Fourth Proportional to 4,742.16, 7,119.39 and 3,647.28

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Solution

The fourth proportional to 4,742.16, 7,119.39 and 3,647.28 is: 5,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.16 : 7,119.39 = 3,647.28 : x
  2. Step 2: Convert to fraction form
    4,742.16/7,119.39 = 3,647.28/x
  3. Step 3: Cross multiply
    4,742.16x = 7,119.39 × 3,647.28
  4. Step 4: Simplify right side
    4,742.16x = 25,966,408.76
  5. Step 5: Solve for x
    x = 25,966,408.76/4,742.16
  6. Step 6: Final answer
    x = 5,475.65

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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.