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Finding the Fourth Proportional to 5,810.02, 8,713.70 and 1,650.46

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Solution

The fourth proportional to 5,810.02, 8,713.70 and 1,650.46 is: 2,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.02 : 8,713.70 = 1,650.46 : x
  2. Step 2: Convert to fraction form
    5,810.02/8,713.70 = 1,650.46/x
  3. Step 3: Cross multiply
    5,810.02x = 8,713.70 × 1,650.46
  4. Step 4: Simplify right side
    5,810.02x = 14,381,613.30
  5. Step 5: Solve for x
    x = 14,381,613.30/5,810.02
  6. Step 6: Final answer
    x = 2,475.31

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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.