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Finding the Fourth Proportional to 3,137.61, 4,707.28 and 1,290.04

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Solution

The fourth proportional to 3,137.61, 4,707.28 and 1,290.04 is: 1,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.61 : 4,707.28 = 1,290.04 : x
  2. Step 2: Convert to fraction form
    3,137.61/4,707.28 = 1,290.04/x
  3. Step 3: Cross multiply
    3,137.61x = 4,707.28 × 1,290.04
  4. Step 4: Simplify right side
    3,137.61x = 6,072,579.49
  5. Step 5: Solve for x
    x = 6,072,579.49/3,137.61
  6. Step 6: Final answer
    x = 1,935.42

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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.