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Finding the Fourth Proportional to 4,138.92, 6,210.30 and 1,830.12

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Solution

The fourth proportional to 4,138.92, 6,210.30 and 1,830.12 is: 2,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.92 : 6,210.30 = 1,830.12 : x
  2. Step 2: Convert to fraction form
    4,138.92/6,210.30 = 1,830.12/x
  3. Step 3: Cross multiply
    4,138.92x = 6,210.30 × 1,830.12
  4. Step 4: Simplify right side
    4,138.92x = 11,365,594.24
  5. Step 5: Solve for x
    x = 11,365,594.24/4,138.92
  6. Step 6: Final answer
    x = 2,746.03

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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.