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Finding the Fourth Proportional to 5,699.89, 7,865.97 and 3,575.51

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Solution

The fourth proportional to 5,699.89, 7,865.97 and 3,575.51 is: 4,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.89 : 7,865.97 = 3,575.51 : x
  2. Step 2: Convert to fraction form
    5,699.89/7,865.97 = 3,575.51/x
  3. Step 3: Cross multiply
    5,699.89x = 7,865.97 × 3,575.51
  4. Step 4: Simplify right side
    5,699.89x = 28,124,815.06
  5. Step 5: Solve for x
    x = 28,124,815.06/5,699.89
  6. Step 6: Final answer
    x = 4,934.28

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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.