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Finding the Fourth Proportional to 4,465.59, 6,696.82 and 1,832.35

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Solution

The fourth proportional to 4,465.59, 6,696.82 and 1,832.35 is: 2,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.59 : 6,696.82 = 1,832.35 : x
  2. Step 2: Convert to fraction form
    4,465.59/6,696.82 = 1,832.35/x
  3. Step 3: Cross multiply
    4,465.59x = 6,696.82 × 1,832.35
  4. Step 4: Simplify right side
    4,465.59x = 12,270,875.48
  5. Step 5: Solve for x
    x = 12,270,875.48/4,465.59
  6. Step 6: Final answer
    x = 2,747.88

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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.