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Finding the Fourth Proportional to 3,707.04, 5,562 and 1,110.24

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Solution

The fourth proportional to 3,707.04, 5,562 and 1,110.24 is: 1,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.04 : 5,562 = 1,110.24 : x
  2. Step 2: Convert to fraction form
    3,707.04/5,562 = 1,110.24/x
  3. Step 3: Cross multiply
    3,707.04x = 5,562 × 1,110.24
  4. Step 4: Simplify right side
    3,707.04x = 6,175,154.88
  5. Step 5: Solve for x
    x = 6,175,154.88/3,707.04
  6. Step 6: Final answer
    x = 1,665.79

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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.