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Finding the Fourth Proportional to 5,189.64, 7,784.70 and 1,492.14

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Solution

The fourth proportional to 5,189.64, 7,784.70 and 1,492.14 is: 2,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.64 : 7,784.70 = 1,492.14 : x
  2. Step 2: Convert to fraction form
    5,189.64/7,784.70 = 1,492.14/x
  3. Step 3: Cross multiply
    5,189.64x = 7,784.70 × 1,492.14
  4. Step 4: Simplify right side
    5,189.64x = 11,615,862.26
  5. Step 5: Solve for x
    x = 11,615,862.26/5,189.64
  6. Step 6: Final answer
    x = 2,238.28

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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.