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Finding the Fourth Proportional to 3,587.84, 5,378.36 and 1,395.84

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Solution

The fourth proportional to 3,587.84, 5,378.36 and 1,395.84 is: 2,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.84 : 5,378.36 = 1,395.84 : x
  2. Step 2: Convert to fraction form
    3,587.84/5,378.36 = 1,395.84/x
  3. Step 3: Cross multiply
    3,587.84x = 5,378.36 × 1,395.84
  4. Step 4: Simplify right side
    3,587.84x = 7,507,330.02
  5. Step 5: Solve for x
    x = 7,507,330.02/3,587.84
  6. Step 6: Final answer
    x = 2,092.44

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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.