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Finding the Fourth Proportional to 3,927.84, 5,888.32 and 1,586.40

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Solution

The fourth proportional to 3,927.84, 5,888.32 and 1,586.40 is: 2,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.84 : 5,888.32 = 1,586.40 : x
  2. Step 2: Convert to fraction form
    3,927.84/5,888.32 = 1,586.40/x
  3. Step 3: Cross multiply
    3,927.84x = 5,888.32 × 1,586.40
  4. Step 4: Simplify right side
    3,927.84x = 9,341,230.85
  5. Step 5: Solve for x
    x = 9,341,230.85/3,927.84
  6. Step 6: Final answer
    x = 2,378.21

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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.