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Finding the Fourth Proportional to 4,736.07, 6,533.06 and 3,408.08

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Solution

The fourth proportional to 4,736.07, 6,533.06 and 3,408.08 is: 4,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.07 : 6,533.06 = 3,408.08 : x
  2. Step 2: Convert to fraction form
    4,736.07/6,533.06 = 3,408.08/x
  3. Step 3: Cross multiply
    4,736.07x = 6,533.06 × 3,408.08
  4. Step 4: Simplify right side
    4,736.07x = 22,265,141.42
  5. Step 5: Solve for x
    x = 22,265,141.42/4,736.07
  6. Step 6: Final answer
    x = 4,701.19

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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.