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Finding the Fourth Proportional to 5,662.23, 8,492.52 and 1,502.49

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Solution

The fourth proportional to 5,662.23, 8,492.52 and 1,502.49 is: 2,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.23 : 8,492.52 = 1,502.49 : x
  2. Step 2: Convert to fraction form
    5,662.23/8,492.52 = 1,502.49/x
  3. Step 3: Cross multiply
    5,662.23x = 8,492.52 × 1,502.49
  4. Step 4: Simplify right side
    5,662.23x = 12,759,926.37
  5. Step 5: Solve for x
    x = 12,759,926.37/5,662.23
  6. Step 6: Final answer
    x = 2,253.52

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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.