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Finding the Fourth Proportional to 5,579.42, 7,701 and 3,341.84

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Solution

The fourth proportional to 5,579.42, 7,701 and 3,341.84 is: 4,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.42 : 7,701 = 3,341.84 : x
  2. Step 2: Convert to fraction form
    5,579.42/7,701 = 3,341.84/x
  3. Step 3: Cross multiply
    5,579.42x = 7,701 × 3,341.84
  4. Step 4: Simplify right side
    5,579.42x = 25,735,509.84
  5. Step 5: Solve for x
    x = 25,735,509.84/5,579.42
  6. Step 6: Final answer
    x = 4,612.58

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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.