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Finding the Fourth Proportional to 5,133.70, 7,701.16 and 1,846.52

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Solution

The fourth proportional to 5,133.70, 7,701.16 and 1,846.52 is: 2,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.70 : 7,701.16 = 1,846.52 : x
  2. Step 2: Convert to fraction form
    5,133.70/7,701.16 = 1,846.52/x
  3. Step 3: Cross multiply
    5,133.70x = 7,701.16 × 1,846.52
  4. Step 4: Simplify right side
    5,133.70x = 14,220,345.96
  5. Step 5: Solve for x
    x = 14,220,345.96/5,133.70
  6. Step 6: Final answer
    x = 2,770.00

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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.