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Finding the Fourth Proportional to 5,903.22, 8,785.14 and 5,706.36

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Solution

The fourth proportional to 5,903.22, 8,785.14 and 5,706.36 is: 8,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.22 : 8,785.14 = 5,706.36 : x
  2. Step 2: Convert to fraction form
    5,903.22/8,785.14 = 5,706.36/x
  3. Step 3: Cross multiply
    5,903.22x = 8,785.14 × 5,706.36
  4. Step 4: Simplify right side
    5,903.22x = 50,131,171.49
  5. Step 5: Solve for x
    x = 50,131,171.49/5,903.22
  6. Step 6: Final answer
    x = 8,492.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.