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Finding the Fourth Proportional to 4,894.43, 7,341.64 and 3,440.07

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Solution

The fourth proportional to 4,894.43, 7,341.64 and 3,440.07 is: 5,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.43 : 7,341.64 = 3,440.07 : x
  2. Step 2: Convert to fraction form
    4,894.43/7,341.64 = 3,440.07/x
  3. Step 3: Cross multiply
    4,894.43x = 7,341.64 × 3,440.07
  4. Step 4: Simplify right side
    4,894.43x = 25,255,755.51
  5. Step 5: Solve for x
    x = 25,255,755.51/4,894.43
  6. Step 6: Final answer
    x = 5,160.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.