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Finding the Fourth Proportional to 4,471.36, 6,706.28 and 1,184.50

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Solution

The fourth proportional to 4,471.36, 6,706.28 and 1,184.50 is: 1,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.36 : 6,706.28 = 1,184.50 : x
  2. Step 2: Convert to fraction form
    4,471.36/6,706.28 = 1,184.50/x
  3. Step 3: Cross multiply
    4,471.36x = 6,706.28 × 1,184.50
  4. Step 4: Simplify right side
    4,471.36x = 7,943,588.66
  5. Step 5: Solve for x
    x = 7,943,588.66/4,471.36
  6. Step 6: Final answer
    x = 1,776.55

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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.