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Finding the Fourth Proportional to 4,902.84, 7,353.90 and 1,440.36

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Solution

The fourth proportional to 4,902.84, 7,353.90 and 1,440.36 is: 2,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.84 : 7,353.90 = 1,440.36 : x
  2. Step 2: Convert to fraction form
    4,902.84/7,353.90 = 1,440.36/x
  3. Step 3: Cross multiply
    4,902.84x = 7,353.90 × 1,440.36
  4. Step 4: Simplify right side
    4,902.84x = 10,592,263.40
  5. Step 5: Solve for x
    x = 10,592,263.40/4,902.84
  6. Step 6: Final answer
    x = 2,160.43

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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.