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Finding the Fourth Proportional to 5,742.81, 7,918.13 and 4,467.06

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Solution

The fourth proportional to 5,742.81, 7,918.13 and 4,467.06 is: 6,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.81 : 7,918.13 = 4,467.06 : x
  2. Step 2: Convert to fraction form
    5,742.81/7,918.13 = 4,467.06/x
  3. Step 3: Cross multiply
    5,742.81x = 7,918.13 × 4,467.06
  4. Step 4: Simplify right side
    5,742.81x = 35,370,739.46
  5. Step 5: Solve for x
    x = 35,370,739.46/5,742.81
  6. Step 6: Final answer
    x = 6,159.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.