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Finding the Fourth Proportional to 4,658.02, 6,987.15 and 1,371.22

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Solution

The fourth proportional to 4,658.02, 6,987.15 and 1,371.22 is: 2,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.02 : 6,987.15 = 1,371.22 : x
  2. Step 2: Convert to fraction form
    4,658.02/6,987.15 = 1,371.22/x
  3. Step 3: Cross multiply
    4,658.02x = 6,987.15 × 1,371.22
  4. Step 4: Simplify right side
    4,658.02x = 9,580,919.82
  5. Step 5: Solve for x
    x = 9,580,919.82/4,658.02
  6. Step 6: Final answer
    x = 2,056.87

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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.