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Finding the Fourth Proportional to 5,340.63, 8,012.19 and 1,830.66

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Solution

The fourth proportional to 5,340.63, 8,012.19 and 1,830.66 is: 2,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.63 : 8,012.19 = 1,830.66 : x
  2. Step 2: Convert to fraction form
    5,340.63/8,012.19 = 1,830.66/x
  3. Step 3: Cross multiply
    5,340.63x = 8,012.19 × 1,830.66
  4. Step 4: Simplify right side
    5,340.63x = 14,667,595.75
  5. Step 5: Solve for x
    x = 14,667,595.75/5,340.63
  6. Step 6: Final answer
    x = 2,746.42

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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.