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Finding the Fourth Proportional to 4,705.63, 7,059.10 and 1,586.53

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Solution

The fourth proportional to 4,705.63, 7,059.10 and 1,586.53 is: 2,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.63 : 7,059.10 = 1,586.53 : x
  2. Step 2: Convert to fraction form
    4,705.63/7,059.10 = 1,586.53/x
  3. Step 3: Cross multiply
    4,705.63x = 7,059.10 × 1,586.53
  4. Step 4: Simplify right side
    4,705.63x = 11,199,496.70
  5. Step 5: Solve for x
    x = 11,199,496.70/4,705.63
  6. Step 6: Final answer
    x = 2,380.02

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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.