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Finding the Fourth Proportional to 5,586.80, 8,378.40 and 2,300

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Solution

The fourth proportional to 5,586.80, 8,378.40 and 2,300 is: 3,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.80 : 8,378.40 = 2,300 : x
  2. Step 2: Convert to fraction form
    5,586.80/8,378.40 = 2,300/x
  3. Step 3: Cross multiply
    5,586.80x = 8,378.40 × 2,300
  4. Step 4: Simplify right side
    5,586.80x = 19,270,320
  5. Step 5: Solve for x
    x = 19,270,320/5,586.80
  6. Step 6: Final answer
    x = 3,449.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.