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Finding the Fourth Proportional to 4,734, 6,533.52 and 3,412.08

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Solution

The fourth proportional to 4,734, 6,533.52 and 3,412.08 is: 4,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734 : 6,533.52 = 3,412.08 : x
  2. Step 2: Convert to fraction form
    4,734/6,533.52 = 3,412.08/x
  3. Step 3: Cross multiply
    4,734x = 6,533.52 × 3,412.08
  4. Step 4: Simplify right side
    4,734x = 22,292,892.92
  5. Step 5: Solve for x
    x = 22,292,892.92/4,734
  6. Step 6: Final answer
    x = 4,709.10

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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.