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Finding the Fourth Proportional to 4,525.70, 6,789.71 and 1,564.74

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Solution

The fourth proportional to 4,525.70, 6,789.71 and 1,564.74 is: 2,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525.70 : 6,789.71 = 1,564.74 : x
  2. Step 2: Convert to fraction form
    4,525.70/6,789.71 = 1,564.74/x
  3. Step 3: Cross multiply
    4,525.70x = 6,789.71 × 1,564.74
  4. Step 4: Simplify right side
    4,525.70x = 10,624,134.74
  5. Step 5: Solve for x
    x = 10,624,134.74/4,525.70
  6. Step 6: Final answer
    x = 2,347.51

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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.