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Finding the Fourth Proportional to 2,893.74, 4,338.94 and 2,547.77

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Solution

The fourth proportional to 2,893.74, 4,338.94 and 2,547.77 is: 3,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.74 : 4,338.94 = 2,547.77 : x
  2. Step 2: Convert to fraction form
    2,893.74/4,338.94 = 2,547.77/x
  3. Step 3: Cross multiply
    2,893.74x = 4,338.94 × 2,547.77
  4. Step 4: Simplify right side
    2,893.74x = 11,054,586.73
  5. Step 5: Solve for x
    x = 11,054,586.73/2,893.74
  6. Step 6: Final answer
    x = 3,820.18

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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.