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Finding the Fourth Proportional to 4,586.80, 6,880.20 and 4,133.20

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Solution

The fourth proportional to 4,586.80, 6,880.20 and 4,133.20 is: 6,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.80 : 6,880.20 = 4,133.20 : x
  2. Step 2: Convert to fraction form
    4,586.80/6,880.20 = 4,133.20/x
  3. Step 3: Cross multiply
    4,586.80x = 6,880.20 × 4,133.20
  4. Step 4: Simplify right side
    4,586.80x = 28,437,242.64
  5. Step 5: Solve for x
    x = 28,437,242.64/4,586.80
  6. Step 6: Final answer
    x = 6,199.80

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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.