Home / 3,802.14-5,702.81-1,204.88

Finding the Fourth Proportional to 3,802.14, 5,702.81 and 1,204.88

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Solution

The fourth proportional to 3,802.14, 5,702.81 and 1,204.88 is: 1,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.14 : 5,702.81 = 1,204.88 : x
  2. Step 2: Convert to fraction form
    3,802.14/5,702.81 = 1,204.88/x
  3. Step 3: Cross multiply
    3,802.14x = 5,702.81 × 1,204.88
  4. Step 4: Simplify right side
    3,802.14x = 6,871,167.17
  5. Step 5: Solve for x
    x = 6,871,167.17/3,802.14
  6. Step 6: Final answer
    x = 1,807.18

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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.