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Finding the Fourth Proportional to 4,509.84, 6,766.07 and 1,876.86

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Solution

The fourth proportional to 4,509.84, 6,766.07 and 1,876.86 is: 2,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.84 : 6,766.07 = 1,876.86 : x
  2. Step 2: Convert to fraction form
    4,509.84/6,766.07 = 1,876.86/x
  3. Step 3: Cross multiply
    4,509.84x = 6,766.07 × 1,876.86
  4. Step 4: Simplify right side
    4,509.84x = 12,698,966.14
  5. Step 5: Solve for x
    x = 12,698,966.14/4,509.84
  6. Step 6: Final answer
    x = 2,815.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.