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Finding the Fourth Proportional to 5,746.15, 8,619.81 and 1,586.15

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Solution

The fourth proportional to 5,746.15, 8,619.81 and 1,586.15 is: 2,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.15 : 8,619.81 = 1,586.15 : x
  2. Step 2: Convert to fraction form
    5,746.15/8,619.81 = 1,586.15/x
  3. Step 3: Cross multiply
    5,746.15x = 8,619.81 × 1,586.15
  4. Step 4: Simplify right side
    5,746.15x = 13,672,311.63
  5. Step 5: Solve for x
    x = 13,672,311.63/5,746.15
  6. Step 6: Final answer
    x = 2,379.39

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1.5x scale

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.