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Finding the Fourth Proportional to 3,437.96, 5,152.28 and 1,561.51

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Solution

The fourth proportional to 3,437.96, 5,152.28 and 1,561.51 is: 2,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.96 : 5,152.28 = 1,561.51 : x
  2. Step 2: Convert to fraction form
    3,437.96/5,152.28 = 1,561.51/x
  3. Step 3: Cross multiply
    3,437.96x = 5,152.28 × 1,561.51
  4. Step 4: Simplify right side
    3,437.96x = 8,045,316.05
  5. Step 5: Solve for x
    x = 8,045,316.05/3,437.96
  6. Step 6: Final answer
    x = 2,340.15

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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.