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Finding the Fourth Proportional to 4,090, 6,133.72 and 1,492.24

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Solution

The fourth proportional to 4,090, 6,133.72 and 1,492.24 is: 2,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 6,133.72 = 1,492.24 : x
  2. Step 2: Convert to fraction form
    4,090/6,133.72 = 1,492.24/x
  3. Step 3: Cross multiply
    4,090x = 6,133.72 × 1,492.24
  4. Step 4: Simplify right side
    4,090x = 9,152,982.33
  5. Step 5: Solve for x
    x = 9,152,982.33/4,090
  6. Step 6: Final answer
    x = 2,237.89

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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.