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Finding the Fourth Proportional to 5,655, 8,492.22 and 5,139.84

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Solution

The fourth proportional to 5,655, 8,492.22 and 5,139.84 is: 7,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655 : 8,492.22 = 5,139.84 : x
  2. Step 2: Convert to fraction form
    5,655/8,492.22 = 5,139.84/x
  3. Step 3: Cross multiply
    5,655x = 8,492.22 × 5,139.84
  4. Step 4: Simplify right side
    5,655x = 43,648,652.04
  5. Step 5: Solve for x
    x = 43,648,652.04/5,655
  6. Step 6: Final answer
    x = 7,718.59

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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.