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Finding the Fourth Proportional to 3,586.34, 5,378.29 and 1,364.64

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Solution

The fourth proportional to 3,586.34, 5,378.29 and 1,364.64 is: 2,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.34 : 5,378.29 = 1,364.64 : x
  2. Step 2: Convert to fraction form
    3,586.34/5,378.29 = 1,364.64/x
  3. Step 3: Cross multiply
    3,586.34x = 5,378.29 × 1,364.64
  4. Step 4: Simplify right side
    3,586.34x = 7,339,422.84
  5. Step 5: Solve for x
    x = 7,339,422.84/3,586.34
  6. Step 6: Final answer
    x = 2,046.50

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1.5x scale

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.