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Finding the Fourth Proportional to 5,506.99, 8,250.46 and 4,916.50

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Solution

The fourth proportional to 5,506.99, 8,250.46 and 4,916.50 is: 7,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.99 : 8,250.46 = 4,916.50 : x
  2. Step 2: Convert to fraction form
    5,506.99/8,250.46 = 4,916.50/x
  3. Step 3: Cross multiply
    5,506.99x = 8,250.46 × 4,916.50
  4. Step 4: Simplify right side
    5,506.99x = 40,563,353.67
  5. Step 5: Solve for x
    x = 40,563,353.67/5,506.99
  6. Step 6: Final answer
    x = 7,365.80

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Why These Related Problems?

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