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Finding the Fourth Proportional to 4,295.62, 6,445.86 and 1,830.18

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Solution

The fourth proportional to 4,295.62, 6,445.86 and 1,830.18 is: 2,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.62 : 6,445.86 = 1,830.18 : x
  2. Step 2: Convert to fraction form
    4,295.62/6,445.86 = 1,830.18/x
  3. Step 3: Cross multiply
    4,295.62x = 6,445.86 × 1,830.18
  4. Step 4: Simplify right side
    4,295.62x = 11,797,084.05
  5. Step 5: Solve for x
    x = 11,797,084.05/4,295.62
  6. Step 6: Final answer
    x = 2,746.31

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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.