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Finding the Fourth Proportional to 3,228.18, 4,838.94 and 1,582.50

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Solution

The fourth proportional to 3,228.18, 4,838.94 and 1,582.50 is: 2,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.18 : 4,838.94 = 1,582.50 : x
  2. Step 2: Convert to fraction form
    3,228.18/4,838.94 = 1,582.50/x
  3. Step 3: Cross multiply
    3,228.18x = 4,838.94 × 1,582.50
  4. Step 4: Simplify right side
    3,228.18x = 7,657,622.55
  5. Step 5: Solve for x
    x = 7,657,622.55/3,228.18
  6. Step 6: Final answer
    x = 2,372.12

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Why These Related Problems?

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