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Finding the Fourth Proportional to 4,907.97, 7,364.16 and 4,492.68

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Solution

The fourth proportional to 4,907.97, 7,364.16 and 4,492.68 is: 6,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.97 : 7,364.16 = 4,492.68 : x
  2. Step 2: Convert to fraction form
    4,907.97/7,364.16 = 4,492.68/x
  3. Step 3: Cross multiply
    4,907.97x = 7,364.16 × 4,492.68
  4. Step 4: Simplify right side
    4,907.97x = 33,084,814.35
  5. Step 5: Solve for x
    x = 33,084,814.35/4,907.97
  6. Step 6: Final answer
    x = 6,741.04

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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.