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Finding the Fourth Proportional to 4,492.86, 6,733.10 and 2,296.99

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Solution

The fourth proportional to 4,492.86, 6,733.10 and 2,296.99 is: 3,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.86 : 6,733.10 = 2,296.99 : x
  2. Step 2: Convert to fraction form
    4,492.86/6,733.10 = 2,296.99/x
  3. Step 3: Cross multiply
    4,492.86x = 6,733.10 × 2,296.99
  4. Step 4: Simplify right side
    4,492.86x = 15,465,863.37
  5. Step 5: Solve for x
    x = 15,465,863.37/4,492.86
  6. Step 6: Final answer
    x = 3,442.32

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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.