Home / 5,206.31-7,810.09-1,695.43

Finding the Fourth Proportional to 5,206.31, 7,810.09 and 1,695.43

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Solution

The fourth proportional to 5,206.31, 7,810.09 and 1,695.43 is: 2,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.31 : 7,810.09 = 1,695.43 : x
  2. Step 2: Convert to fraction form
    5,206.31/7,810.09 = 1,695.43/x
  3. Step 3: Cross multiply
    5,206.31x = 7,810.09 × 1,695.43
  4. Step 4: Simplify right side
    5,206.31x = 13,241,466.41
  5. Step 5: Solve for x
    x = 13,241,466.41/5,206.31
  6. Step 6: Final answer
    x = 2,543.35

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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.