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Finding the Fourth Proportional to 3,845.65, 5,307.07 and 2,253.45

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Solution

The fourth proportional to 3,845.65, 5,307.07 and 2,253.45 is: 3,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.65 : 5,307.07 = 2,253.45 : x
  2. Step 2: Convert to fraction form
    3,845.65/5,307.07 = 2,253.45/x
  3. Step 3: Cross multiply
    3,845.65x = 5,307.07 × 2,253.45
  4. Step 4: Simplify right side
    3,845.65x = 11,959,190.61
  5. Step 5: Solve for x
    x = 11,959,190.61/3,845.65
  6. Step 6: Final answer
    x = 3,109.80

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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.