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Finding the Fourth Proportional to 3,038, 4,557.80 and 986.16

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Solution

The fourth proportional to 3,038, 4,557.80 and 986.16 is: 1,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038 : 4,557.80 = 986.16 : x
  2. Step 2: Convert to fraction form
    3,038/4,557.80 = 986.16/x
  3. Step 3: Cross multiply
    3,038x = 4,557.80 × 986.16
  4. Step 4: Simplify right side
    3,038x = 4,494,720.05
  5. Step 5: Solve for x
    x = 4,494,720.05/3,038
  6. Step 6: Final answer
    x = 1,479.50

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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.