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Finding the Fourth Proportional to 4,293.66, 6,436.28 and 1,829.10

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Solution

The fourth proportional to 4,293.66, 6,436.28 and 1,829.10 is: 2,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.66 : 6,436.28 = 1,829.10 : x
  2. Step 2: Convert to fraction form
    4,293.66/6,436.28 = 1,829.10/x
  3. Step 3: Cross multiply
    4,293.66x = 6,436.28 × 1,829.10
  4. Step 4: Simplify right side
    4,293.66x = 11,772,599.75
  5. Step 5: Solve for x
    x = 11,772,599.75/4,293.66
  6. Step 6: Final answer
    x = 2,741.86

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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.