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Finding the Fourth Proportional to 5,152.18, 7,709.82 and 4,461.23

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Solution

The fourth proportional to 5,152.18, 7,709.82 and 4,461.23 is: 6,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.18 : 7,709.82 = 4,461.23 : x
  2. Step 2: Convert to fraction form
    5,152.18/7,709.82 = 4,461.23/x
  3. Step 3: Cross multiply
    5,152.18x = 7,709.82 × 4,461.23
  4. Step 4: Simplify right side
    5,152.18x = 34,395,280.28
  5. Step 5: Solve for x
    x = 34,395,280.28/5,152.18
  6. Step 6: Final answer
    x = 6,675.87

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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.