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Finding the Fourth Proportional to 5,607.52, 8,409.84 and 3,415.84

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Solution

The fourth proportional to 5,607.52, 8,409.84 and 3,415.84 is: 5,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.52 : 8,409.84 = 3,415.84 : x
  2. Step 2: Convert to fraction form
    5,607.52/8,409.84 = 3,415.84/x
  3. Step 3: Cross multiply
    5,607.52x = 8,409.84 × 3,415.84
  4. Step 4: Simplify right side
    5,607.52x = 28,726,667.87
  5. Step 5: Solve for x
    x = 28,726,667.87/5,607.52
  6. Step 6: Final answer
    x = 5,122.88

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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.