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Finding the Fourth Proportional to 4,122.59, 6,186.93 and 3,029.90

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Solution

The fourth proportional to 4,122.59, 6,186.93 and 3,029.90 is: 4,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.59 : 6,186.93 = 3,029.90 : x
  2. Step 2: Convert to fraction form
    4,122.59/6,186.93 = 3,029.90/x
  3. Step 3: Cross multiply
    4,122.59x = 6,186.93 × 3,029.90
  4. Step 4: Simplify right side
    4,122.59x = 18,745,764.06
  5. Step 5: Solve for x
    x = 18,745,764.06/4,122.59
  6. Step 6: Final answer
    x = 4,547.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.