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Finding the Fourth Proportional to 4,102.34, 5,661.06 and 2,239.34

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Solution

The fourth proportional to 4,102.34, 5,661.06 and 2,239.34 is: 3,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.34 : 5,661.06 = 2,239.34 : x
  2. Step 2: Convert to fraction form
    4,102.34/5,661.06 = 2,239.34/x
  3. Step 3: Cross multiply
    4,102.34x = 5,661.06 × 2,239.34
  4. Step 4: Simplify right side
    4,102.34x = 12,677,038.10
  5. Step 5: Solve for x
    x = 12,677,038.10/4,102.34
  6. Step 6: Final answer
    x = 3,090.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.