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Finding the Fourth Proportional to 4,709.46, 7,064.16 and 2,402.58

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Solution

The fourth proportional to 4,709.46, 7,064.16 and 2,402.58 is: 3,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.46 : 7,064.16 = 2,402.58 : x
  2. Step 2: Convert to fraction form
    4,709.46/7,064.16 = 2,402.58/x
  3. Step 3: Cross multiply
    4,709.46x = 7,064.16 × 2,402.58
  4. Step 4: Simplify right side
    4,709.46x = 16,972,209.53
  5. Step 5: Solve for x
    x = 16,972,209.53/4,709.46
  6. Step 6: Final answer
    x = 3,603.85

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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.