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Finding the Fourth Proportional to 3,603.68, 5,405.36 and 2,065.76

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Solution

The fourth proportional to 3,603.68, 5,405.36 and 2,065.76 is: 3,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.68 : 5,405.36 = 2,065.76 : x
  2. Step 2: Convert to fraction form
    3,603.68/5,405.36 = 2,065.76/x
  3. Step 3: Cross multiply
    3,603.68x = 5,405.36 × 2,065.76
  4. Step 4: Simplify right side
    3,603.68x = 11,166,176.47
  5. Step 5: Solve for x
    x = 11,166,176.47/3,603.68
  6. Step 6: Final answer
    x = 3,098.55

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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.