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Finding the Fourth Proportional to 4,290.84, 5,917.32 and 3,409.56

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Solution

The fourth proportional to 4,290.84, 5,917.32 and 3,409.56 is: 4,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.84 : 5,917.32 = 3,409.56 : x
  2. Step 2: Convert to fraction form
    4,290.84/5,917.32 = 3,409.56/x
  3. Step 3: Cross multiply
    4,290.84x = 5,917.32 × 3,409.56
  4. Step 4: Simplify right side
    4,290.84x = 20,175,457.58
  5. Step 5: Solve for x
    x = 20,175,457.58/4,290.84
  6. Step 6: Final answer
    x = 4,701.98

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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.