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Finding the Fourth Proportional to 5,707.44, 8,538.08 and 4,936.01

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Solution

The fourth proportional to 5,707.44, 8,538.08 and 4,936.01 is: 7,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.44 : 8,538.08 = 4,936.01 : x
  2. Step 2: Convert to fraction form
    5,707.44/8,538.08 = 4,936.01/x
  3. Step 3: Cross multiply
    5,707.44x = 8,538.08 × 4,936.01
  4. Step 4: Simplify right side
    5,707.44x = 42,144,081.95
  5. Step 5: Solve for x
    x = 42,144,081.95/5,707.44
  6. Step 6: Final answer
    x = 7,384.06

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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.