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Finding the Fourth Proportional to 5,730.84, 7,910.46 and 3,494.16

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Solution

The fourth proportional to 5,730.84, 7,910.46 and 3,494.16 is: 4,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.84 : 7,910.46 = 3,494.16 : x
  2. Step 2: Convert to fraction form
    5,730.84/7,910.46 = 3,494.16/x
  3. Step 3: Cross multiply
    5,730.84x = 7,910.46 × 3,494.16
  4. Step 4: Simplify right side
    5,730.84x = 27,640,412.91
  5. Step 5: Solve for x
    x = 27,640,412.91/5,730.84
  6. Step 6: Final answer
    x = 4,823.10

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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.