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Finding the Fourth Proportional to 3,133.60, 4,703.82 and 2,309.32

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Solution

The fourth proportional to 3,133.60, 4,703.82 and 2,309.32 is: 3,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.60 : 4,703.82 = 2,309.32 : x
  2. Step 2: Convert to fraction form
    3,133.60/4,703.82 = 2,309.32/x
  3. Step 3: Cross multiply
    3,133.60x = 4,703.82 × 2,309.32
  4. Step 4: Simplify right side
    3,133.60x = 10,862,625.60
  5. Step 5: Solve for x
    x = 10,862,625.60/3,133.60
  6. Step 6: Final answer
    x = 3,466.50

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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.