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Finding the Fourth Proportional to 4,802.06, 6,626.85 and 2,594.06

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Solution

The fourth proportional to 4,802.06, 6,626.85 and 2,594.06 is: 3,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.06 : 6,626.85 = 2,594.06 : x
  2. Step 2: Convert to fraction form
    4,802.06/6,626.85 = 2,594.06/x
  3. Step 3: Cross multiply
    4,802.06x = 6,626.85 × 2,594.06
  4. Step 4: Simplify right side
    4,802.06x = 17,190,463.08
  5. Step 5: Solve for x
    x = 17,190,463.08/4,802.06
  6. Step 6: Final answer
    x = 3,579.81

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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.