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Finding the Fourth Proportional to 3,290.76, 4,937.58 and 1,730.40

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Solution

The fourth proportional to 3,290.76, 4,937.58 and 1,730.40 is: 2,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.76 : 4,937.58 = 1,730.40 : x
  2. Step 2: Convert to fraction form
    3,290.76/4,937.58 = 1,730.40/x
  3. Step 3: Cross multiply
    3,290.76x = 4,937.58 × 1,730.40
  4. Step 4: Simplify right side
    3,290.76x = 8,543,988.43
  5. Step 5: Solve for x
    x = 8,543,988.43/3,290.76
  6. Step 6: Final answer
    x = 2,596.36

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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.