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Finding the Fourth Proportional to 3,592.36, 5,390.98 and 1,949.40

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Solution

The fourth proportional to 3,592.36, 5,390.98 and 1,949.40 is: 2,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.36 : 5,390.98 = 1,949.40 : x
  2. Step 2: Convert to fraction form
    3,592.36/5,390.98 = 1,949.40/x
  3. Step 3: Cross multiply
    3,592.36x = 5,390.98 × 1,949.40
  4. Step 4: Simplify right side
    3,592.36x = 10,509,176.41
  5. Step 5: Solve for x
    x = 10,509,176.41/3,592.36
  6. Step 6: Final answer
    x = 2,925.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.