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Finding the Fourth Proportional to 3,686.68, 5,533.26 and 2,389.60

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Solution

The fourth proportional to 3,686.68, 5,533.26 and 2,389.60 is: 3,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.68 : 5,533.26 = 2,389.60 : x
  2. Step 2: Convert to fraction form
    3,686.68/5,533.26 = 2,389.60/x
  3. Step 3: Cross multiply
    3,686.68x = 5,533.26 × 2,389.60
  4. Step 4: Simplify right side
    3,686.68x = 13,222,278.10
  5. Step 5: Solve for x
    x = 13,222,278.10/3,686.68
  6. Step 6: Final answer
    x = 3,586.50

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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.