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Finding the Fourth Proportional to 3,407.40, 5,112.12 and 1,652.10

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Solution

The fourth proportional to 3,407.40, 5,112.12 and 1,652.10 is: 2,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.40 : 5,112.12 = 1,652.10 : x
  2. Step 2: Convert to fraction form
    3,407.40/5,112.12 = 1,652.10/x
  3. Step 3: Cross multiply
    3,407.40x = 5,112.12 × 1,652.10
  4. Step 4: Simplify right side
    3,407.40x = 8,445,733.45
  5. Step 5: Solve for x
    x = 8,445,733.45/3,407.40
  6. Step 6: Final answer
    x = 2,478.64

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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.