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Finding the Fourth Proportional to 6,058, 9,090.51 and 2,547.73

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Solution

The fourth proportional to 6,058, 9,090.51 and 2,547.73 is: 3,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058 : 9,090.51 = 2,547.73 : x
  2. Step 2: Convert to fraction form
    6,058/9,090.51 = 2,547.73/x
  3. Step 3: Cross multiply
    6,058x = 9,090.51 × 2,547.73
  4. Step 4: Simplify right side
    6,058x = 23,160,165.04
  5. Step 5: Solve for x
    x = 23,160,165.04/6,058
  6. Step 6: Final answer
    x = 3,823.07

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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.