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Finding the Fourth Proportional to 5,233.53, 7,852.99 and 2,893.10

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Solution

The fourth proportional to 5,233.53, 7,852.99 and 2,893.10 is: 4,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.53 : 7,852.99 = 2,893.10 : x
  2. Step 2: Convert to fraction form
    5,233.53/7,852.99 = 2,893.10/x
  3. Step 3: Cross multiply
    5,233.53x = 7,852.99 × 2,893.10
  4. Step 4: Simplify right side
    5,233.53x = 22,719,512.23
  5. Step 5: Solve for x
    x = 22,719,512.23/5,233.53
  6. Step 6: Final answer
    x = 4,341.14

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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.