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Finding the Fourth Proportional to 4,709, 7,054.31 and 2,240.42

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Solution

The fourth proportional to 4,709, 7,054.31 and 2,240.42 is: 3,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 7,054.31 = 2,240.42 : x
  2. Step 2: Convert to fraction form
    4,709/7,054.31 = 2,240.42/x
  3. Step 3: Cross multiply
    4,709x = 7,054.31 × 2,240.42
  4. Step 4: Simplify right side
    4,709x = 15,804,617.21
  5. Step 5: Solve for x
    x = 15,804,617.21/4,709
  6. Step 6: Final answer
    x = 3,356.26

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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.