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Finding the Fourth Proportional to 5,219.84, 7,204.20 and 3,124.64

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Solution

The fourth proportional to 5,219.84, 7,204.20 and 3,124.64 is: 4,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.84 : 7,204.20 = 3,124.64 : x
  2. Step 2: Convert to fraction form
    5,219.84/7,204.20 = 3,124.64/x
  3. Step 3: Cross multiply
    5,219.84x = 7,204.20 × 3,124.64
  4. Step 4: Simplify right side
    5,219.84x = 22,510,531.49
  5. Step 5: Solve for x
    x = 22,510,531.49/5,219.84
  6. Step 6: Final answer
    x = 4,312.49

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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.