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Finding the Fourth Proportional to 4,736.08, 7,102.80 and 1,405.06

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Solution

The fourth proportional to 4,736.08, 7,102.80 and 1,405.06 is: 2,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.08 : 7,102.80 = 1,405.06 : x
  2. Step 2: Convert to fraction form
    4,736.08/7,102.80 = 1,405.06/x
  3. Step 3: Cross multiply
    4,736.08x = 7,102.80 × 1,405.06
  4. Step 4: Simplify right side
    4,736.08x = 9,979,842.41
  5. Step 5: Solve for x
    x = 9,979,842.41/4,736.08
  6. Step 6: Final answer
    x = 2,107.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.