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Finding the Fourth Proportional to 3,741.65, 5,609.13 and 1,548.98

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Solution

The fourth proportional to 3,741.65, 5,609.13 and 1,548.98 is: 2,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.65 : 5,609.13 = 1,548.98 : x
  2. Step 2: Convert to fraction form
    3,741.65/5,609.13 = 1,548.98/x
  3. Step 3: Cross multiply
    3,741.65x = 5,609.13 × 1,548.98
  4. Step 4: Simplify right side
    3,741.65x = 8,688,402.14
  5. Step 5: Solve for x
    x = 8,688,402.14/3,741.65
  6. Step 6: Final answer
    x = 2,322.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.