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Finding the Fourth Proportional to 5,766.70, 8,647.80 and 2,477.50

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Solution

The fourth proportional to 5,766.70, 8,647.80 and 2,477.50 is: 3,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.70 : 8,647.80 = 2,477.50 : x
  2. Step 2: Convert to fraction form
    5,766.70/8,647.80 = 2,477.50/x
  3. Step 3: Cross multiply
    5,766.70x = 8,647.80 × 2,477.50
  4. Step 4: Simplify right side
    5,766.70x = 21,424,924.50
  5. Step 5: Solve for x
    x = 21,424,924.50/5,766.70
  6. Step 6: Final answer
    x = 3,715.28

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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.