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Finding the Fourth Proportional to 3,797.53, 5,696.10 and 1,332.16

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Solution

The fourth proportional to 3,797.53, 5,696.10 and 1,332.16 is: 1,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.53 : 5,696.10 = 1,332.16 : x
  2. Step 2: Convert to fraction form
    3,797.53/5,696.10 = 1,332.16/x
  3. Step 3: Cross multiply
    3,797.53x = 5,696.10 × 1,332.16
  4. Step 4: Simplify right side
    3,797.53x = 7,588,102.34
  5. Step 5: Solve for x
    x = 7,588,102.34/3,797.53
  6. Step 6: Final answer
    x = 1,998.17

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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.