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Finding the Fourth Proportional to 4,707.64, 6,496.62 and 3,029.68

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Solution

The fourth proportional to 4,707.64, 6,496.62 and 3,029.68 is: 4,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.64 : 6,496.62 = 3,029.68 : x
  2. Step 2: Convert to fraction form
    4,707.64/6,496.62 = 3,029.68/x
  3. Step 3: Cross multiply
    4,707.64x = 6,496.62 × 3,029.68
  4. Step 4: Simplify right side
    4,707.64x = 19,682,679.68
  5. Step 5: Solve for x
    x = 19,682,679.68/4,707.64
  6. Step 6: Final answer
    x = 4,181.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.