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Finding the Fourth Proportional to 3,693, 5,537.52 and 1,501.20

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Solution

The fourth proportional to 3,693, 5,537.52 and 1,501.20 is: 2,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693 : 5,537.52 = 1,501.20 : x
  2. Step 2: Convert to fraction form
    3,693/5,537.52 = 1,501.20/x
  3. Step 3: Cross multiply
    3,693x = 5,537.52 × 1,501.20
  4. Step 4: Simplify right side
    3,693x = 8,312,925.02
  5. Step 5: Solve for x
    x = 8,312,925.02/3,693
  6. Step 6: Final answer
    x = 2,251.00

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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.