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Finding the Fourth Proportional to 5,607.53, 7,743.62 and 3,515.30

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Solution

The fourth proportional to 5,607.53, 7,743.62 and 3,515.30 is: 4,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.53 : 7,743.62 = 3,515.30 : x
  2. Step 2: Convert to fraction form
    5,607.53/7,743.62 = 3,515.30/x
  3. Step 3: Cross multiply
    5,607.53x = 7,743.62 × 3,515.30
  4. Step 4: Simplify right side
    5,607.53x = 27,221,091.09
  5. Step 5: Solve for x
    x = 27,221,091.09/5,607.53
  6. Step 6: Final answer
    x = 4,854.39

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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.