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Finding the Fourth Proportional to 4,534.50, 6,803.19 and 1,456.50

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Solution

The fourth proportional to 4,534.50, 6,803.19 and 1,456.50 is: 2,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.50 : 6,803.19 = 1,456.50 : x
  2. Step 2: Convert to fraction form
    4,534.50/6,803.19 = 1,456.50/x
  3. Step 3: Cross multiply
    4,534.50x = 6,803.19 × 1,456.50
  4. Step 4: Simplify right side
    4,534.50x = 9,908,846.24
  5. Step 5: Solve for x
    x = 9,908,846.24/4,534.50
  6. Step 6: Final answer
    x = 2,185.21

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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.