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Finding the Fourth Proportional to 3,188.40, 4,399.96 and 1,862.32

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Solution

The fourth proportional to 3,188.40, 4,399.96 and 1,862.32 is: 2,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.40 : 4,399.96 = 1,862.32 : x
  2. Step 2: Convert to fraction form
    3,188.40/4,399.96 = 1,862.32/x
  3. Step 3: Cross multiply
    3,188.40x = 4,399.96 × 1,862.32
  4. Step 4: Simplify right side
    3,188.40x = 8,194,133.51
  5. Step 5: Solve for x
    x = 8,194,133.51/3,188.40
  6. Step 6: Final answer
    x = 2,569.98

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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.