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Finding the Fourth Proportional to 5,114.99, 7,672.65 and 1,417.25

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Solution

The fourth proportional to 5,114.99, 7,672.65 and 1,417.25 is: 2,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.99 : 7,672.65 = 1,417.25 : x
  2. Step 2: Convert to fraction form
    5,114.99/7,672.65 = 1,417.25/x
  3. Step 3: Cross multiply
    5,114.99x = 7,672.65 × 1,417.25
  4. Step 4: Simplify right side
    5,114.99x = 10,874,082.39
  5. Step 5: Solve for x
    x = 10,874,082.39/5,114.99
  6. Step 6: Final answer
    x = 2,125.92

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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.