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Finding the Fourth Proportional to 4,676.54, 7,010.25 and 1,713.15

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Solution

The fourth proportional to 4,676.54, 7,010.25 and 1,713.15 is: 2,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.54 : 7,010.25 = 1,713.15 : x
  2. Step 2: Convert to fraction form
    4,676.54/7,010.25 = 1,713.15/x
  3. Step 3: Cross multiply
    4,676.54x = 7,010.25 × 1,713.15
  4. Step 4: Simplify right side
    4,676.54x = 12,009,603.36
  5. Step 5: Solve for x
    x = 12,009,603.36/4,676.54
  6. Step 6: Final answer
    x = 2,568.06

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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.