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Finding the Fourth Proportional to 3,510.84, 5,262.60 and 1,564.40

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Solution

The fourth proportional to 3,510.84, 5,262.60 and 1,564.40 is: 2,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.84 : 5,262.60 = 1,564.40 : x
  2. Step 2: Convert to fraction form
    3,510.84/5,262.60 = 1,564.40/x
  3. Step 3: Cross multiply
    3,510.84x = 5,262.60 × 1,564.40
  4. Step 4: Simplify right side
    3,510.84x = 8,232,811.44
  5. Step 5: Solve for x
    x = 8,232,811.44/3,510.84
  6. Step 6: Final answer
    x = 2,344.97

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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.