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Finding the Fourth Proportional to 4,802.13, 6,626.88 and 2,706.26

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Solution

The fourth proportional to 4,802.13, 6,626.88 and 2,706.26 is: 3,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.13 : 6,626.88 = 2,706.26 : x
  2. Step 2: Convert to fraction form
    4,802.13/6,626.88 = 2,706.26/x
  3. Step 3: Cross multiply
    4,802.13x = 6,626.88 × 2,706.26
  4. Step 4: Simplify right side
    4,802.13x = 17,934,027.13
  5. Step 5: Solve for x
    x = 17,934,027.13/4,802.13
  6. Step 6: Final answer
    x = 3,734.60

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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.