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Finding the Fourth Proportional to 4,191.84, 5,785.09 and 2,702.86

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Solution

The fourth proportional to 4,191.84, 5,785.09 and 2,702.86 is: 3,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.84 : 5,785.09 = 2,702.86 : x
  2. Step 2: Convert to fraction form
    4,191.84/5,785.09 = 2,702.86/x
  3. Step 3: Cross multiply
    4,191.84x = 5,785.09 × 2,702.86
  4. Step 4: Simplify right side
    4,191.84x = 15,636,281.60
  5. Step 5: Solve for x
    x = 15,636,281.60/4,191.84
  6. Step 6: Final answer
    x = 3,730.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.