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Finding the Fourth Proportional to 3,411.63, 5,116.16 and 1,561.46

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Solution

The fourth proportional to 3,411.63, 5,116.16 and 1,561.46 is: 2,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.63 : 5,116.16 = 1,561.46 : x
  2. Step 2: Convert to fraction form
    3,411.63/5,116.16 = 1,561.46/x
  3. Step 3: Cross multiply
    3,411.63x = 5,116.16 × 1,561.46
  4. Step 4: Simplify right side
    3,411.63x = 7,988,657.52
  5. Step 5: Solve for x
    x = 7,988,657.52/3,411.63
  6. Step 6: Final answer
    x = 2,341.60

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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.