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Finding the Fourth Proportional to 3,697.95, 5,548 and 1,389.63

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Solution

The fourth proportional to 3,697.95, 5,548 and 1,389.63 is: 2,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.95 : 5,548 = 1,389.63 : x
  2. Step 2: Convert to fraction form
    3,697.95/5,548 = 1,389.63/x
  3. Step 3: Cross multiply
    3,697.95x = 5,548 × 1,389.63
  4. Step 4: Simplify right side
    3,697.95x = 7,709,667.24
  5. Step 5: Solve for x
    x = 7,709,667.24/3,697.95
  6. Step 6: Final answer
    x = 2,084.85

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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.