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Finding the Fourth Proportional to 4,736.06, 6,535.77 and 2,640.14

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Solution

The fourth proportional to 4,736.06, 6,535.77 and 2,640.14 is: 3,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.06 : 6,535.77 = 2,640.14 : x
  2. Step 2: Convert to fraction form
    4,736.06/6,535.77 = 2,640.14/x
  3. Step 3: Cross multiply
    4,736.06x = 6,535.77 × 2,640.14
  4. Step 4: Simplify right side
    4,736.06x = 17,255,347.81
  5. Step 5: Solve for x
    x = 17,255,347.81/4,736.06
  6. Step 6: Final answer
    x = 3,643.40

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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.