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Finding the Fourth Proportional to 4,886.15, 7,329.90 and 1,599.50

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Solution

The fourth proportional to 4,886.15, 7,329.90 and 1,599.50 is: 2,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.15 : 7,329.90 = 1,599.50 : x
  2. Step 2: Convert to fraction form
    4,886.15/7,329.90 = 1,599.50/x
  3. Step 3: Cross multiply
    4,886.15x = 7,329.90 × 1,599.50
  4. Step 4: Simplify right side
    4,886.15x = 11,724,138.40
  5. Step 5: Solve for x
    x = 11,724,138.40/4,886.15
  6. Step 6: Final answer
    x = 2,399.47

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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.