Home / 3,623.10-5,434.65-1,314.30

Finding the Fourth Proportional to 3,623.10, 5,434.65 and 1,314.30

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Solution

The fourth proportional to 3,623.10, 5,434.65 and 1,314.30 is: 1,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.10 : 5,434.65 = 1,314.30 : x
  2. Step 2: Convert to fraction form
    3,623.10/5,434.65 = 1,314.30/x
  3. Step 3: Cross multiply
    3,623.10x = 5,434.65 × 1,314.30
  4. Step 4: Simplify right side
    3,623.10x = 7,142,760.50
  5. Step 5: Solve for x
    x = 7,142,760.50/3,623.10
  6. Step 6: Final answer
    x = 1,971.45

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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.