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Finding the Fourth Proportional to 4,664.06, 6,431.07 and 3,483.14

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Solution

The fourth proportional to 4,664.06, 6,431.07 and 3,483.14 is: 4,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.06 : 6,431.07 = 3,483.14 : x
  2. Step 2: Convert to fraction form
    4,664.06/6,431.07 = 3,483.14/x
  3. Step 3: Cross multiply
    4,664.06x = 6,431.07 × 3,483.14
  4. Step 4: Simplify right side
    4,664.06x = 22,400,317.16
  5. Step 5: Solve for x
    x = 22,400,317.16/4,664.06
  6. Step 6: Final answer
    x = 4,802.75

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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.