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Finding the Fourth Proportional to 3,409.40, 4,706.63 and 2,152.28

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Solution

The fourth proportional to 3,409.40, 4,706.63 and 2,152.28 is: 2,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.40 : 4,706.63 = 2,152.28 : x
  2. Step 2: Convert to fraction form
    3,409.40/4,706.63 = 2,152.28/x
  3. Step 3: Cross multiply
    3,409.40x = 4,706.63 × 2,152.28
  4. Step 4: Simplify right side
    3,409.40x = 10,129,951.32
  5. Step 5: Solve for x
    x = 10,129,951.32/3,409.40
  6. Step 6: Final answer
    x = 2,971.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.