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Finding the Fourth Proportional to 3,290.47, 4,937.52 and 1,830.43

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Solution

The fourth proportional to 3,290.47, 4,937.52 and 1,830.43 is: 2,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.47 : 4,937.52 = 1,830.43 : x
  2. Step 2: Convert to fraction form
    3,290.47/4,937.52 = 1,830.43/x
  3. Step 3: Cross multiply
    3,290.47x = 4,937.52 × 1,830.43
  4. Step 4: Simplify right side
    3,290.47x = 9,037,784.73
  5. Step 5: Solve for x
    x = 9,037,784.73/3,290.47
  6. Step 6: Final answer
    x = 2,746.65

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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.