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Finding the Fourth Proportional to 3,877.07, 5,825.48 and 3,653.01

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Solution

The fourth proportional to 3,877.07, 5,825.48 and 3,653.01 is: 5,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.07 : 5,825.48 = 3,653.01 : x
  2. Step 2: Convert to fraction form
    3,877.07/5,825.48 = 3,653.01/x
  3. Step 3: Cross multiply
    3,877.07x = 5,825.48 × 3,653.01
  4. Step 4: Simplify right side
    3,877.07x = 21,280,518.43
  5. Step 5: Solve for x
    x = 21,280,518.43/3,877.07
  6. Step 6: Final answer
    x = 5,488.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.