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Finding the Fourth Proportional to 4,774.69, 6,587.49 and 2,886.85

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Solution

The fourth proportional to 4,774.69, 6,587.49 and 2,886.85 is: 3,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.69 : 6,587.49 = 2,886.85 : x
  2. Step 2: Convert to fraction form
    4,774.69/6,587.49 = 2,886.85/x
  3. Step 3: Cross multiply
    4,774.69x = 6,587.49 × 2,886.85
  4. Step 4: Simplify right side
    4,774.69x = 19,017,095.51
  5. Step 5: Solve for x
    x = 19,017,095.51/4,774.69
  6. Step 6: Final answer
    x = 3,982.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.