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Finding the Fourth Proportional to 4,270.53, 6,408.10 and 2,046.98

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Solution

The fourth proportional to 4,270.53, 6,408.10 and 2,046.98 is: 3,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.53 : 6,408.10 = 2,046.98 : x
  2. Step 2: Convert to fraction form
    4,270.53/6,408.10 = 2,046.98/x
  3. Step 3: Cross multiply
    4,270.53x = 6,408.10 × 2,046.98
  4. Step 4: Simplify right side
    4,270.53x = 13,117,223.06
  5. Step 5: Solve for x
    x = 13,117,223.06/4,270.53
  6. Step 6: Final answer
    x = 3,071.57

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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.