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Finding the Fourth Proportional to 4,709, 7,058.12 and 2,240.32

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Solution

The fourth proportional to 4,709, 7,058.12 and 2,240.32 is: 3,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 7,058.12 = 2,240.32 : x
  2. Step 2: Convert to fraction form
    4,709/7,058.12 = 2,240.32/x
  3. Step 3: Cross multiply
    4,709x = 7,058.12 × 2,240.32
  4. Step 4: Simplify right side
    4,709x = 15,812,447.40
  5. Step 5: Solve for x
    x = 15,812,447.40/4,709
  6. Step 6: Final answer
    x = 3,357.92

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