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Finding the Fourth Proportional to 4,862.96, 7,295.06 and 1,576

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Solution

The fourth proportional to 4,862.96, 7,295.06 and 1,576 is: 2,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.96 : 7,295.06 = 1,576 : x
  2. Step 2: Convert to fraction form
    4,862.96/7,295.06 = 1,576/x
  3. Step 3: Cross multiply
    4,862.96x = 7,295.06 × 1,576
  4. Step 4: Simplify right side
    4,862.96x = 11,497,014.56
  5. Step 5: Solve for x
    x = 11,497,014.56/4,862.96
  6. Step 6: Final answer
    x = 2,364.20

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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.