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Finding the Fourth Proportional to 3,741.66, 5,602.43 and 3,045.47

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Solution

The fourth proportional to 3,741.66, 5,602.43 and 3,045.47 is: 4,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.66 : 5,602.43 = 3,045.47 : x
  2. Step 2: Convert to fraction form
    3,741.66/5,602.43 = 3,045.47/x
  3. Step 3: Cross multiply
    3,741.66x = 5,602.43 × 3,045.47
  4. Step 4: Simplify right side
    3,741.66x = 17,062,012.09
  5. Step 5: Solve for x
    x = 17,062,012.09/3,741.66
  6. Step 6: Final answer
    x = 4,560.01

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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.