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Finding the Fourth Proportional to 3,603.98, 4,972.56 and 2,423

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Solution

The fourth proportional to 3,603.98, 4,972.56 and 2,423 is: 3,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.98 : 4,972.56 = 2,423 : x
  2. Step 2: Convert to fraction form
    3,603.98/4,972.56 = 2,423/x
  3. Step 3: Cross multiply
    3,603.98x = 4,972.56 × 2,423
  4. Step 4: Simplify right side
    3,603.98x = 12,048,512.88
  5. Step 5: Solve for x
    x = 12,048,512.88/3,603.98
  6. Step 6: Final answer
    x = 3,343.11

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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.