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Finding the Fourth Proportional to 2,992.35, 4,492.50 and 2,556.40

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Solution

The fourth proportional to 2,992.35, 4,492.50 and 2,556.40 is: 3,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.35 : 4,492.50 = 2,556.40 : x
  2. Step 2: Convert to fraction form
    2,992.35/4,492.50 = 2,556.40/x
  3. Step 3: Cross multiply
    2,992.35x = 4,492.50 × 2,556.40
  4. Step 4: Simplify right side
    2,992.35x = 11,484,612.21
  5. Step 5: Solve for x
    x = 11,484,612.21/2,992.35
  6. Step 6: Final answer
    x = 3,837.99

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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.