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Finding the Fourth Proportional to 3,603.42, 4,972.47 and 2,031.18

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Solution

The fourth proportional to 3,603.42, 4,972.47 and 2,031.18 is: 2,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.42 : 4,972.47 = 2,031.18 : x
  2. Step 2: Convert to fraction form
    3,603.42/4,972.47 = 2,031.18/x
  3. Step 3: Cross multiply
    3,603.42x = 4,972.47 × 2,031.18
  4. Step 4: Simplify right side
    3,603.42x = 10,099,981.61
  5. Step 5: Solve for x
    x = 10,099,981.61/3,603.42
  6. Step 6: Final answer
    x = 2,802.89

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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.