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Finding the Fourth Proportional to 5,653.88, 7,802.36 and 3,135.90

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Solution

The fourth proportional to 5,653.88, 7,802.36 and 3,135.90 is: 4,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.88 : 7,802.36 = 3,135.90 : x
  2. Step 2: Convert to fraction form
    5,653.88/7,802.36 = 3,135.90/x
  3. Step 3: Cross multiply
    5,653.88x = 7,802.36 × 3,135.90
  4. Step 4: Simplify right side
    5,653.88x = 24,467,434.30
  5. Step 5: Solve for x
    x = 24,467,434.30/5,653.88
  6. Step 6: Final answer
    x = 4,327.55

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