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Finding the Fourth Proportional to 5,964.21, 8,946.03 and 1,804.05

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Solution

The fourth proportional to 5,964.21, 8,946.03 and 1,804.05 is: 2,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.21 : 8,946.03 = 1,804.05 : x
  2. Step 2: Convert to fraction form
    5,964.21/8,946.03 = 1,804.05/x
  3. Step 3: Cross multiply
    5,964.21x = 8,946.03 × 1,804.05
  4. Step 4: Simplify right side
    5,964.21x = 16,139,085.42
  5. Step 5: Solve for x
    x = 16,139,085.42/5,964.21
  6. Step 6: Final answer
    x = 2,705.99

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Why These Related Problems?

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