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Finding the Fourth Proportional to 3,720.93, 5,582.25 and 1,641.52

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Solution

The fourth proportional to 3,720.93, 5,582.25 and 1,641.52 is: 2,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.93 : 5,582.25 = 1,641.52 : x
  2. Step 2: Convert to fraction form
    3,720.93/5,582.25 = 1,641.52/x
  3. Step 3: Cross multiply
    3,720.93x = 5,582.25 × 1,641.52
  4. Step 4: Simplify right side
    3,720.93x = 9,163,366.81
  5. Step 5: Solve for x
    x = 9,163,366.81/3,720.93
  6. Step 6: Final answer
    x = 2,462.66

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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.