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Finding the Fourth Proportional to 5,362.98, 8,038.98 and 2,074.80

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Solution

The fourth proportional to 5,362.98, 8,038.98 and 2,074.80 is: 3,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.98 : 8,038.98 = 2,074.80 : x
  2. Step 2: Convert to fraction form
    5,362.98/8,038.98 = 2,074.80/x
  3. Step 3: Cross multiply
    5,362.98x = 8,038.98 × 2,074.80
  4. Step 4: Simplify right side
    5,362.98x = 16,679,275.70
  5. Step 5: Solve for x
    x = 16,679,275.70/5,362.98
  6. Step 6: Final answer
    x = 3,110.08

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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.