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Finding the Fourth Proportional to 3,666.52, 5,501.94 and 1,475.47

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Solution

The fourth proportional to 3,666.52, 5,501.94 and 1,475.47 is: 2,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.52 : 5,501.94 = 1,475.47 : x
  2. Step 2: Convert to fraction form
    3,666.52/5,501.94 = 1,475.47/x
  3. Step 3: Cross multiply
    3,666.52x = 5,501.94 × 1,475.47
  4. Step 4: Simplify right side
    3,666.52x = 8,117,947.41
  5. Step 5: Solve for x
    x = 8,117,947.41/3,666.52
  6. Step 6: Final answer
    x = 2,214.07

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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.