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Finding the Fourth Proportional to 3,802.60, 5,703.90 and 3,219.40

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Solution

The fourth proportional to 3,802.60, 5,703.90 and 3,219.40 is: 4,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.60 : 5,703.90 = 3,219.40 : x
  2. Step 2: Convert to fraction form
    3,802.60/5,703.90 = 3,219.40/x
  3. Step 3: Cross multiply
    3,802.60x = 5,703.90 × 3,219.40
  4. Step 4: Simplify right side
    3,802.60x = 18,363,135.66
  5. Step 5: Solve for x
    x = 18,363,135.66/3,802.60
  6. Step 6: Final answer
    x = 4,829.10

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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.