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Finding the Fourth Proportional to 3,859.84, 5,313.04 and 3,416.96

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Solution

The fourth proportional to 3,859.84, 5,313.04 and 3,416.96 is: 4,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.84 : 5,313.04 = 3,416.96 : x
  2. Step 2: Convert to fraction form
    3,859.84/5,313.04 = 3,416.96/x
  3. Step 3: Cross multiply
    3,859.84x = 5,313.04 × 3,416.96
  4. Step 4: Simplify right side
    3,859.84x = 18,154,445.16
  5. Step 5: Solve for x
    x = 18,154,445.16/3,859.84
  6. Step 6: Final answer
    x = 4,703.42

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