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Finding the Fourth Proportional to 5,724.44, 7,898.55 and 4,133.50

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Solution

The fourth proportional to 5,724.44, 7,898.55 and 4,133.50 is: 5,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.44 : 7,898.55 = 4,133.50 : x
  2. Step 2: Convert to fraction form
    5,724.44/7,898.55 = 4,133.50/x
  3. Step 3: Cross multiply
    5,724.44x = 7,898.55 × 4,133.50
  4. Step 4: Simplify right side
    5,724.44x = 32,648,621.18
  5. Step 5: Solve for x
    x = 32,648,621.18/5,724.44
  6. Step 6: Final answer
    x = 5,703.38

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Why These Related Problems?

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