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Finding the Fourth Proportional to 4,570.75, 6,856.13 and 1,108

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Solution

The fourth proportional to 4,570.75, 6,856.13 and 1,108 is: 1,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.75 : 6,856.13 = 1,108 : x
  2. Step 2: Convert to fraction form
    4,570.75/6,856.13 = 1,108/x
  3. Step 3: Cross multiply
    4,570.75x = 6,856.13 × 1,108
  4. Step 4: Simplify right side
    4,570.75x = 7,596,592.04
  5. Step 5: Solve for x
    x = 7,596,592.04/4,570.75
  6. Step 6: Final answer
    x = 1,662.00

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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.