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Finding the Fourth Proportional to 8,592.95, 12,894.29 and 3,662.08

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Solution

The fourth proportional to 8,592.95, 12,894.29 and 3,662.08 is: 5,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.95 : 12,894.29 = 3,662.08 : x
  2. Step 2: Convert to fraction form
    8,592.95/12,894.29 = 3,662.08/x
  3. Step 3: Cross multiply
    8,592.95x = 12,894.29 × 3,662.08
  4. Step 4: Simplify right side
    8,592.95x = 47,219,921.52
  5. Step 5: Solve for x
    x = 47,219,921.52/8,592.95
  6. Step 6: Final answer
    x = 5,495.19

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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.