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Finding the Fourth Proportional to 3,887.02, 5,825.96 and 1,802.63

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Solution

The fourth proportional to 3,887.02, 5,825.96 and 1,802.63 is: 2,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.02 : 5,825.96 = 1,802.63 : x
  2. Step 2: Convert to fraction form
    3,887.02/5,825.96 = 1,802.63/x
  3. Step 3: Cross multiply
    3,887.02x = 5,825.96 × 1,802.63
  4. Step 4: Simplify right side
    3,887.02x = 10,502,041.26
  5. Step 5: Solve for x
    x = 10,502,041.26/3,887.02
  6. Step 6: Final answer
    x = 2,701.83

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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.