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Finding the Fourth Proportional to 3,653.66, 5,041.23 and 2,475.38

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Solution

The fourth proportional to 3,653.66, 5,041.23 and 2,475.38 is: 3,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.66 : 5,041.23 = 2,475.38 : x
  2. Step 2: Convert to fraction form
    3,653.66/5,041.23 = 2,475.38/x
  3. Step 3: Cross multiply
    3,653.66x = 5,041.23 × 2,475.38
  4. Step 4: Simplify right side
    3,653.66x = 12,478,959.92
  5. Step 5: Solve for x
    x = 12,478,959.92/3,653.66
  6. Step 6: Final answer
    x = 3,415.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.