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Finding the Fourth Proportional to 5,604.83, 8,384.14 and 4,606.40

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Solution

The fourth proportional to 5,604.83, 8,384.14 and 4,606.40 is: 6,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.83 : 8,384.14 = 4,606.40 : x
  2. Step 2: Convert to fraction form
    5,604.83/8,384.14 = 4,606.40/x
  3. Step 3: Cross multiply
    5,604.83x = 8,384.14 × 4,606.40
  4. Step 4: Simplify right side
    5,604.83x = 38,620,729.21
  5. Step 5: Solve for x
    x = 38,620,729.21/5,604.83
  6. Step 6: Final answer
    x = 6,890.62

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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.