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Finding the Fourth Proportional to 4,709.44, 7,064.16 and 2,402.56

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Solution

The fourth proportional to 4,709.44, 7,064.16 and 2,402.56 is: 3,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.44 : 7,064.16 = 2,402.56 : x
  2. Step 2: Convert to fraction form
    4,709.44/7,064.16 = 2,402.56/x
  3. Step 3: Cross multiply
    4,709.44x = 7,064.16 × 2,402.56
  4. Step 4: Simplify right side
    4,709.44x = 16,972,068.25
  5. Step 5: Solve for x
    x = 16,972,068.25/4,709.44
  6. Step 6: Final answer
    x = 3,603.84

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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.