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Finding the Fourth Proportional to 3,652.52, 5,477 and 1,803.02

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Solution

The fourth proportional to 3,652.52, 5,477 and 1,803.02 is: 2,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.52 : 5,477 = 1,803.02 : x
  2. Step 2: Convert to fraction form
    3,652.52/5,477 = 1,803.02/x
  3. Step 3: Cross multiply
    3,652.52x = 5,477 × 1,803.02
  4. Step 4: Simplify right side
    3,652.52x = 9,875,140.54
  5. Step 5: Solve for x
    x = 9,875,140.54/3,652.52
  6. Step 6: Final answer
    x = 2,703.65

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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.