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Finding the Fourth Proportional to 3,138.32, 4,703.90 and 1,287.06

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Solution

The fourth proportional to 3,138.32, 4,703.90 and 1,287.06 is: 1,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.32 : 4,703.90 = 1,287.06 : x
  2. Step 2: Convert to fraction form
    3,138.32/4,703.90 = 1,287.06/x
  3. Step 3: Cross multiply
    3,138.32x = 4,703.90 × 1,287.06
  4. Step 4: Simplify right side
    3,138.32x = 6,054,201.53
  5. Step 5: Solve for x
    x = 6,054,201.53/3,138.32
  6. Step 6: Final answer
    x = 1,929.12

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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.