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Finding the Fourth Proportional to 5,592, 8,389.83 and 1,696.41

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Solution

The fourth proportional to 5,592, 8,389.83 and 1,696.41 is: 2,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,592 : 8,389.83 = 1,696.41 : x
  2. Step 2: Convert to fraction form
    5,592/8,389.83 = 1,696.41/x
  3. Step 3: Cross multiply
    5,592x = 8,389.83 × 1,696.41
  4. Step 4: Simplify right side
    5,592x = 14,232,591.51
  5. Step 5: Solve for x
    x = 14,232,591.51/5,592
  6. Step 6: Final answer
    x = 2,545.17

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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.