Home / 5,742-7,924.14-3,386.16

Finding the Fourth Proportional to 5,742, 7,924.14 and 3,386.16

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Solution

The fourth proportional to 5,742, 7,924.14 and 3,386.16 is: 4,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 7,924.14 = 3,386.16 : x
  2. Step 2: Convert to fraction form
    5,742/7,924.14 = 3,386.16/x
  3. Step 3: Cross multiply
    5,742x = 7,924.14 × 3,386.16
  4. Step 4: Simplify right side
    5,742x = 26,832,405.90
  5. Step 5: Solve for x
    x = 26,832,405.90/5,742
  6. Step 6: Final answer
    x = 4,673.01

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Why These Related Problems?

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