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Finding the Fourth Proportional to 3,710.84, 5,564.25 and 1,521.14

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Solution

The fourth proportional to 3,710.84, 5,564.25 and 1,521.14 is: 2,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.84 : 5,564.25 = 1,521.14 : x
  2. Step 2: Convert to fraction form
    3,710.84/5,564.25 = 1,521.14/x
  3. Step 3: Cross multiply
    3,710.84x = 5,564.25 × 1,521.14
  4. Step 4: Simplify right side
    3,710.84x = 8,463,967.82
  5. Step 5: Solve for x
    x = 8,463,967.82/3,710.84
  6. Step 6: Final answer
    x = 2,280.88

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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.