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Finding the Fourth Proportional to 5,735.49, 8,599.65 and 2,402.84

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Solution

The fourth proportional to 5,735.49, 8,599.65 and 2,402.84 is: 3,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.49 : 8,599.65 = 2,402.84 : x
  2. Step 2: Convert to fraction form
    5,735.49/8,599.65 = 2,402.84/x
  3. Step 3: Cross multiply
    5,735.49x = 8,599.65 × 2,402.84
  4. Step 4: Simplify right side
    5,735.49x = 20,663,569.95
  5. Step 5: Solve for x
    x = 20,663,569.95/5,735.49
  6. Step 6: Final answer
    x = 3,602.75

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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.