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Finding the Fourth Proportional to 3,681.20, 5,521.81 and 907.93

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Solution

The fourth proportional to 3,681.20, 5,521.81 and 907.93 is: 1,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.20 : 5,521.81 = 907.93 : x
  2. Step 2: Convert to fraction form
    3,681.20/5,521.81 = 907.93/x
  3. Step 3: Cross multiply
    3,681.20x = 5,521.81 × 907.93
  4. Step 4: Simplify right side
    3,681.20x = 5,013,416.95
  5. Step 5: Solve for x
    x = 5,013,416.95/3,681.20
  6. Step 6: Final answer
    x = 1,361.90

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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.