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Finding the Fourth Proportional to 4,070.74, 6,098.22 and 2,310.42

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Solution

The fourth proportional to 4,070.74, 6,098.22 and 2,310.42 is: 3,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.74 : 6,098.22 = 2,310.42 : x
  2. Step 2: Convert to fraction form
    4,070.74/6,098.22 = 2,310.42/x
  3. Step 3: Cross multiply
    4,070.74x = 6,098.22 × 2,310.42
  4. Step 4: Simplify right side
    4,070.74x = 14,089,438.02
  5. Step 5: Solve for x
    x = 14,089,438.02/4,070.74
  6. Step 6: Final answer
    x = 3,461.15

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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.