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Finding the Fourth Proportional to 5,653.35, 7,801.72 and 3,135.57

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Solution

The fourth proportional to 5,653.35, 7,801.72 and 3,135.57 is: 4,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.35 : 7,801.72 = 3,135.57 : x
  2. Step 2: Convert to fraction form
    5,653.35/7,801.72 = 3,135.57/x
  3. Step 3: Cross multiply
    5,653.35x = 7,801.72 × 3,135.57
  4. Step 4: Simplify right side
    5,653.35x = 24,462,839.18
  5. Step 5: Solve for x
    x = 24,462,839.18/5,653.35
  6. Step 6: Final answer
    x = 4,327.14

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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.