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Finding the Fourth Proportional to 5,158.95, 7,730.84 and 3,048.41

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Solution

The fourth proportional to 5,158.95, 7,730.84 and 3,048.41 is: 4,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.95 : 7,730.84 = 3,048.41 : x
  2. Step 2: Convert to fraction form
    5,158.95/7,730.84 = 3,048.41/x
  3. Step 3: Cross multiply
    5,158.95x = 7,730.84 × 3,048.41
  4. Step 4: Simplify right side
    5,158.95x = 23,566,737.16
  5. Step 5: Solve for x
    x = 23,566,737.16/5,158.95
  6. Step 6: Final answer
    x = 4,568.13

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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.