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Finding the Fourth Proportional to 4,586.70, 6,878.70 and 1,300.08

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Solution

The fourth proportional to 4,586.70, 6,878.70 and 1,300.08 is: 1,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.70 : 6,878.70 = 1,300.08 : x
  2. Step 2: Convert to fraction form
    4,586.70/6,878.70 = 1,300.08/x
  3. Step 3: Cross multiply
    4,586.70x = 6,878.70 × 1,300.08
  4. Step 4: Simplify right side
    4,586.70x = 8,942,860.30
  5. Step 5: Solve for x
    x = 8,942,860.30/4,586.70
  6. Step 6: Final answer
    x = 1,949.74

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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.