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Finding the Fourth Proportional to 4,762.08, 7,149.94 and 2,916.86

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Solution

The fourth proportional to 4,762.08, 7,149.94 and 2,916.86 is: 4,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.08 : 7,149.94 = 2,916.86 : x
  2. Step 2: Convert to fraction form
    4,762.08/7,149.94 = 2,916.86/x
  3. Step 3: Cross multiply
    4,762.08x = 7,149.94 × 2,916.86
  4. Step 4: Simplify right side
    4,762.08x = 20,855,330.95
  5. Step 5: Solve for x
    x = 20,855,330.95/4,762.08
  6. Step 6: Final answer
    x = 4,379.46

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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.