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Finding the Fourth Proportional to 5,492.84, 7,578.53 and 3,102.68

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Solution

The fourth proportional to 5,492.84, 7,578.53 and 3,102.68 is: 4,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.84 : 7,578.53 = 3,102.68 : x
  2. Step 2: Convert to fraction form
    5,492.84/7,578.53 = 3,102.68/x
  3. Step 3: Cross multiply
    5,492.84x = 7,578.53 × 3,102.68
  4. Step 4: Simplify right side
    5,492.84x = 23,513,737.95
  5. Step 5: Solve for x
    x = 23,513,737.95/5,492.84
  6. Step 6: Final answer
    x = 4,280.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.