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Finding the Fourth Proportional to 4,228.19, 6,342.18 and 1,762.95

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Solution

The fourth proportional to 4,228.19, 6,342.18 and 1,762.95 is: 2,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.19 : 6,342.18 = 1,762.95 : x
  2. Step 2: Convert to fraction form
    4,228.19/6,342.18 = 1,762.95/x
  3. Step 3: Cross multiply
    4,228.19x = 6,342.18 × 1,762.95
  4. Step 4: Simplify right side
    4,228.19x = 11,180,946.23
  5. Step 5: Solve for x
    x = 11,180,946.23/4,228.19
  6. Step 6: Final answer
    x = 2,644.38

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