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Finding the Fourth Proportional to 4,657.39, 6,970.92 and 3,424.48

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Solution

The fourth proportional to 4,657.39, 6,970.92 and 3,424.48 is: 5,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.39 : 6,970.92 = 3,424.48 : x
  2. Step 2: Convert to fraction form
    4,657.39/6,970.92 = 3,424.48/x
  3. Step 3: Cross multiply
    4,657.39x = 6,970.92 × 3,424.48
  4. Step 4: Simplify right side
    4,657.39x = 23,871,776.12
  5. Step 5: Solve for x
    x = 23,871,776.12/4,657.39
  6. Step 6: Final answer
    x = 5,125.57

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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.