Home / 5,051.30-7,577-1,764.40

Finding the Fourth Proportional to 5,051.30, 7,577 and 1,764.40

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Solution

The fourth proportional to 5,051.30, 7,577 and 1,764.40 is: 2,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.30 : 7,577 = 1,764.40 : x
  2. Step 2: Convert to fraction form
    5,051.30/7,577 = 1,764.40/x
  3. Step 3: Cross multiply
    5,051.30x = 7,577 × 1,764.40
  4. Step 4: Simplify right side
    5,051.30x = 13,368,858.80
  5. Step 5: Solve for x
    x = 13,368,858.80/5,051.30
  6. Step 6: Final answer
    x = 2,646.62

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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.