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Finding the Fourth Proportional to 3,763.80, 5,645.94 and 1,298.84

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Solution

The fourth proportional to 3,763.80, 5,645.94 and 1,298.84 is: 1,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.80 : 5,645.94 = 1,298.84 : x
  2. Step 2: Convert to fraction form
    3,763.80/5,645.94 = 1,298.84/x
  3. Step 3: Cross multiply
    3,763.80x = 5,645.94 × 1,298.84
  4. Step 4: Simplify right side
    3,763.80x = 7,333,172.71
  5. Step 5: Solve for x
    x = 7,333,172.71/3,763.80
  6. Step 6: Final answer
    x = 1,948.34

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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.