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Finding the Fourth Proportional to 4,818.95, 7,228.41 and 1,356.20

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Solution

The fourth proportional to 4,818.95, 7,228.41 and 1,356.20 is: 2,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818.95 : 7,228.41 = 1,356.20 : x
  2. Step 2: Convert to fraction form
    4,818.95/7,228.41 = 1,356.20/x
  3. Step 3: Cross multiply
    4,818.95x = 7,228.41 × 1,356.20
  4. Step 4: Simplify right side
    4,818.95x = 9,803,133.50
  5. Step 5: Solve for x
    x = 9,803,133.50/4,818.95
  6. Step 6: Final answer
    x = 2,034.29

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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.