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Finding the Fourth Proportional to 3,697.76, 5,547.44 and 1,721.92

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Solution

The fourth proportional to 3,697.76, 5,547.44 and 1,721.92 is: 2,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.76 : 5,547.44 = 1,721.92 : x
  2. Step 2: Convert to fraction form
    3,697.76/5,547.44 = 1,721.92/x
  3. Step 3: Cross multiply
    3,697.76x = 5,547.44 × 1,721.92
  4. Step 4: Simplify right side
    3,697.76x = 9,552,247.88
  5. Step 5: Solve for x
    x = 9,552,247.88/3,697.76
  6. Step 6: Final answer
    x = 2,583.25

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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.