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Finding the Fourth Proportional to 3,802.61, 5,235.50 and 3,354.10

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Solution

The fourth proportional to 3,802.61, 5,235.50 and 3,354.10 is: 4,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.61 : 5,235.50 = 3,354.10 : x
  2. Step 2: Convert to fraction form
    3,802.61/5,235.50 = 3,354.10/x
  3. Step 3: Cross multiply
    3,802.61x = 5,235.50 × 3,354.10
  4. Step 4: Simplify right side
    3,802.61x = 17,560,390.55
  5. Step 5: Solve for x
    x = 17,560,390.55/3,802.61
  6. Step 6: Final answer
    x = 4,617.98

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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.