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Finding the Fourth Proportional to 4,974.61, 7,461.87 and 1,854.51

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Solution

The fourth proportional to 4,974.61, 7,461.87 and 1,854.51 is: 2,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.61 : 7,461.87 = 1,854.51 : x
  2. Step 2: Convert to fraction form
    4,974.61/7,461.87 = 1,854.51/x
  3. Step 3: Cross multiply
    4,974.61x = 7,461.87 × 1,854.51
  4. Step 4: Simplify right side
    4,974.61x = 13,838,112.53
  5. Step 5: Solve for x
    x = 13,838,112.53/4,974.61
  6. Step 6: Final answer
    x = 2,781.75

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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.