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Finding the Fourth Proportional to 4,064.75, 6,097.94 and 1,756.25

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Solution

The fourth proportional to 4,064.75, 6,097.94 and 1,756.25 is: 2,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.75 : 6,097.94 = 1,756.25 : x
  2. Step 2: Convert to fraction form
    4,064.75/6,097.94 = 1,756.25/x
  3. Step 3: Cross multiply
    4,064.75x = 6,097.94 × 1,756.25
  4. Step 4: Simplify right side
    4,064.75x = 10,709,498.34
  5. Step 5: Solve for x
    x = 10,709,498.34/4,064.75
  6. Step 6: Final answer
    x = 2,634.72

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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.