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Finding the Fourth Proportional to 4,331.94, 6,496.39 and 1,409.50

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Solution

The fourth proportional to 4,331.94, 6,496.39 and 1,409.50 is: 2,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.94 : 6,496.39 = 1,409.50 : x
  2. Step 2: Convert to fraction form
    4,331.94/6,496.39 = 1,409.50/x
  3. Step 3: Cross multiply
    4,331.94x = 6,496.39 × 1,409.50
  4. Step 4: Simplify right side
    4,331.94x = 9,156,661.71
  5. Step 5: Solve for x
    x = 9,156,661.71/4,331.94
  6. Step 6: Final answer
    x = 2,113.76

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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.