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Finding the Fourth Proportional to 4,354, 6,009.60 and 2,492.08

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Solution

The fourth proportional to 4,354, 6,009.60 and 2,492.08 is: 3,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354 : 6,009.60 = 2,492.08 : x
  2. Step 2: Convert to fraction form
    4,354/6,009.60 = 2,492.08/x
  3. Step 3: Cross multiply
    4,354x = 6,009.60 × 2,492.08
  4. Step 4: Simplify right side
    4,354x = 14,976,403.97
  5. Step 5: Solve for x
    x = 14,976,403.97/4,354
  6. Step 6: Final answer
    x = 3,439.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.