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Finding the Fourth Proportional to 3,207.77, 4,812.47 and 1,357.94

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Solution

The fourth proportional to 3,207.77, 4,812.47 and 1,357.94 is: 2,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.77 : 4,812.47 = 1,357.94 : x
  2. Step 2: Convert to fraction form
    3,207.77/4,812.47 = 1,357.94/x
  3. Step 3: Cross multiply
    3,207.77x = 4,812.47 × 1,357.94
  4. Step 4: Simplify right side
    3,207.77x = 6,535,038.72
  5. Step 5: Solve for x
    x = 6,535,038.72/3,207.77
  6. Step 6: Final answer
    x = 2,037.25

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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.