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Finding the Fourth Proportional to 5,501.71, 8,257.81 and 3,415.40

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Solution

The fourth proportional to 5,501.71, 8,257.81 and 3,415.40 is: 5,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.71 : 8,257.81 = 3,415.40 : x
  2. Step 2: Convert to fraction form
    5,501.71/8,257.81 = 3,415.40/x
  3. Step 3: Cross multiply
    5,501.71x = 8,257.81 × 3,415.40
  4. Step 4: Simplify right side
    5,501.71x = 28,203,707.20
  5. Step 5: Solve for x
    x = 28,203,707.20/5,501.71
  6. Step 6: Final answer
    x = 5,126.35

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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.