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Finding the Fourth Proportional to 5,477.90, 8,216.85 and 4,384.40

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Solution

The fourth proportional to 5,477.90, 8,216.85 and 4,384.40 is: 6,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.90 : 8,216.85 = 4,384.40 : x
  2. Step 2: Convert to fraction form
    5,477.90/8,216.85 = 4,384.40/x
  3. Step 3: Cross multiply
    5,477.90x = 8,216.85 × 4,384.40
  4. Step 4: Simplify right side
    5,477.90x = 36,025,957.14
  5. Step 5: Solve for x
    x = 36,025,957.14/5,477.90
  6. Step 6: Final answer
    x = 6,576.60

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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.