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Finding the Fourth Proportional to 3,645.93, 5,468.97 and 1,306.10

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Solution

The fourth proportional to 3,645.93, 5,468.97 and 1,306.10 is: 1,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.93 : 5,468.97 = 1,306.10 : x
  2. Step 2: Convert to fraction form
    3,645.93/5,468.97 = 1,306.10/x
  3. Step 3: Cross multiply
    3,645.93x = 5,468.97 × 1,306.10
  4. Step 4: Simplify right side
    3,645.93x = 7,142,994.37
  5. Step 5: Solve for x
    x = 7,142,994.37/3,645.93
  6. Step 6: Final answer
    x = 1,959.17

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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.