Home / 5,047.20-7,570.08-1,584

Finding the Fourth Proportional to 5,047.20, 7,570.08 and 1,584

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Solution

The fourth proportional to 5,047.20, 7,570.08 and 1,584 is: 2,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.20 : 7,570.08 = 1,584 : x
  2. Step 2: Convert to fraction form
    5,047.20/7,570.08 = 1,584/x
  3. Step 3: Cross multiply
    5,047.20x = 7,570.08 × 1,584
  4. Step 4: Simplify right side
    5,047.20x = 11,991,006.72
  5. Step 5: Solve for x
    x = 11,991,006.72/5,047.20
  6. Step 6: Final answer
    x = 2,375.77

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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.