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Finding the Fourth Proportional to 5,117.02, 7,059.72 and 2,878.54

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Solution

The fourth proportional to 5,117.02, 7,059.72 and 2,878.54 is: 3,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.02 : 7,059.72 = 2,878.54 : x
  2. Step 2: Convert to fraction form
    5,117.02/7,059.72 = 2,878.54/x
  3. Step 3: Cross multiply
    5,117.02x = 7,059.72 × 2,878.54
  4. Step 4: Simplify right side
    5,117.02x = 20,321,686.41
  5. Step 5: Solve for x
    x = 20,321,686.41/5,117.02
  6. Step 6: Final answer
    x = 3,971.39

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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.