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Finding the Fourth Proportional to 5,167.02, 7,750.50 and 1,880.10

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Solution

The fourth proportional to 5,167.02, 7,750.50 and 1,880.10 is: 2,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.02 : 7,750.50 = 1,880.10 : x
  2. Step 2: Convert to fraction form
    5,167.02/7,750.50 = 1,880.10/x
  3. Step 3: Cross multiply
    5,167.02x = 7,750.50 × 1,880.10
  4. Step 4: Simplify right side
    5,167.02x = 14,571,715.05
  5. Step 5: Solve for x
    x = 14,571,715.05/5,167.02
  6. Step 6: Final answer
    x = 2,820.14

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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.