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Finding the Fourth Proportional to 4,351.34, 6,527.00 and 1,578.00

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Solution

The fourth proportional to 4,351.34, 6,527.00 and 1,578.00 is: 2,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.34 : 6,527.00 = 1,578.00 : x
  2. Step 2: Convert to fraction form
    4,351.34/6,527.00 = 1,578.00/x
  3. Step 3: Cross multiply
    4,351.34x = 6,527.00 × 1,578.00
  4. Step 4: Simplify right side
    4,351.34x = 10,299,588.83
  5. Step 5: Solve for x
    x = 10,299,588.83/4,351.34
  6. Step 6: Final answer
    x = 2,366.99

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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.