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Finding the Fourth Proportional to 4,776.30, 7,164.90 and 1,854.83

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Solution

The fourth proportional to 4,776.30, 7,164.90 and 1,854.83 is: 2,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.30 : 7,164.90 = 1,854.83 : x
  2. Step 2: Convert to fraction form
    4,776.30/7,164.90 = 1,854.83/x
  3. Step 3: Cross multiply
    4,776.30x = 7,164.90 × 1,854.83
  4. Step 4: Simplify right side
    4,776.30x = 13,289,635.64
  5. Step 5: Solve for x
    x = 13,289,635.64/4,776.30
  6. Step 6: Final answer
    x = 2,782.41

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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.