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Finding the Fourth Proportional to 5,140.80, 7,094.22 and 2,782.92

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Solution

The fourth proportional to 5,140.80, 7,094.22 and 2,782.92 is: 3,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.80 : 7,094.22 = 2,782.92 : x
  2. Step 2: Convert to fraction form
    5,140.80/7,094.22 = 2,782.92/x
  3. Step 3: Cross multiply
    5,140.80x = 7,094.22 × 2,782.92
  4. Step 4: Simplify right side
    5,140.80x = 19,742,646.72
  5. Step 5: Solve for x
    x = 19,742,646.72/5,140.80
  6. Step 6: Final answer
    x = 3,840.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.