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Finding the Fourth Proportional to 3,137.93, 4,707.62 and 1,057.88

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Solution

The fourth proportional to 3,137.93, 4,707.62 and 1,057.88 is: 1,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.93 : 4,707.62 = 1,057.88 : x
  2. Step 2: Convert to fraction form
    3,137.93/4,707.62 = 1,057.88/x
  3. Step 3: Cross multiply
    3,137.93x = 4,707.62 × 1,057.88
  4. Step 4: Simplify right side
    3,137.93x = 4,980,103.53
  5. Step 5: Solve for x
    x = 4,980,103.53/3,137.93
  6. Step 6: Final answer
    x = 1,587.07

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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.