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Finding the Fourth Proportional to 4,314.99, 6,461.51 and 2,851.95

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Solution

The fourth proportional to 4,314.99, 6,461.51 and 2,851.95 is: 4,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.99 : 6,461.51 = 2,851.95 : x
  2. Step 2: Convert to fraction form
    4,314.99/6,461.51 = 2,851.95/x
  3. Step 3: Cross multiply
    4,314.99x = 6,461.51 × 2,851.95
  4. Step 4: Simplify right side
    4,314.99x = 18,427,889.18
  5. Step 5: Solve for x
    x = 18,427,889.18/4,314.99
  6. Step 6: Final answer
    x = 4,270.67

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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.