Home / 3,411.16-5,116.48-946.16

Finding the Fourth Proportional to 3,411.16, 5,116.48 and 946.16

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Solution

The fourth proportional to 3,411.16, 5,116.48 and 946.16 is: 1,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.16 : 5,116.48 = 946.16 : x
  2. Step 2: Convert to fraction form
    3,411.16/5,116.48 = 946.16/x
  3. Step 3: Cross multiply
    3,411.16x = 5,116.48 × 946.16
  4. Step 4: Simplify right side
    3,411.16x = 4,841,008.72
  5. Step 5: Solve for x
    x = 4,841,008.72/3,411.16
  6. Step 6: Final answer
    x = 1,419.17

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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.