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Finding the Fourth Proportional to 3,707.44, 5,559.53 and 1,109.77

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Solution

The fourth proportional to 3,707.44, 5,559.53 and 1,109.77 is: 1,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.44 : 5,559.53 = 1,109.77 : x
  2. Step 2: Convert to fraction form
    3,707.44/5,559.53 = 1,109.77/x
  3. Step 3: Cross multiply
    3,707.44x = 5,559.53 × 1,109.77
  4. Step 4: Simplify right side
    3,707.44x = 6,169,774.58
  5. Step 5: Solve for x
    x = 6,169,774.58/3,707.44
  6. Step 6: Final answer
    x = 1,664.16

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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.