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Finding the Fourth Proportional to 5,156.58, 7,116 and 2,798.70

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Solution

The fourth proportional to 5,156.58, 7,116 and 2,798.70 is: 3,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.58 : 7,116 = 2,798.70 : x
  2. Step 2: Convert to fraction form
    5,156.58/7,116 = 2,798.70/x
  3. Step 3: Cross multiply
    5,156.58x = 7,116 × 2,798.70
  4. Step 4: Simplify right side
    5,156.58x = 19,915,549.20
  5. Step 5: Solve for x
    x = 19,915,549.20/5,156.58
  6. Step 6: Final answer
    x = 3,862.16

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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.