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Finding the Fourth Proportional to 3,137.47, 4,707.35 and 1,288.08

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Solution

The fourth proportional to 3,137.47, 4,707.35 and 1,288.08 is: 1,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.47 : 4,707.35 = 1,288.08 : x
  2. Step 2: Convert to fraction form
    3,137.47/4,707.35 = 1,288.08/x
  3. Step 3: Cross multiply
    3,137.47x = 4,707.35 × 1,288.08
  4. Step 4: Simplify right side
    3,137.47x = 6,063,443.39
  5. Step 5: Solve for x
    x = 6,063,443.39/3,137.47
  6. Step 6: Final answer
    x = 1,932.59

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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.