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Finding the Fourth Proportional to 4,974.86, 7,462.25 and 1,854.76

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Solution

The fourth proportional to 4,974.86, 7,462.25 and 1,854.76 is: 2,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.86 : 7,462.25 = 1,854.76 : x
  2. Step 2: Convert to fraction form
    4,974.86/7,462.25 = 1,854.76/x
  3. Step 3: Cross multiply
    4,974.86x = 7,462.25 × 1,854.76
  4. Step 4: Simplify right side
    4,974.86x = 13,840,682.81
  5. Step 5: Solve for x
    x = 13,840,682.81/4,974.86
  6. Step 6: Final answer
    x = 2,782.13

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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.