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Finding the Fourth Proportional to 5,058, 6,980.52 and 2,820.60

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Solution

The fourth proportional to 5,058, 6,980.52 and 2,820.60 is: 3,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058 : 6,980.52 = 2,820.60 : x
  2. Step 2: Convert to fraction form
    5,058/6,980.52 = 2,820.60/x
  3. Step 3: Cross multiply
    5,058x = 6,980.52 × 2,820.60
  4. Step 4: Simplify right side
    5,058x = 19,689,254.71
  5. Step 5: Solve for x
    x = 19,689,254.71/5,058
  6. Step 6: Final answer
    x = 3,892.70

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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.