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Finding the Fourth Proportional to 4,191.87, 5,784.89 and 2,303.50

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Solution

The fourth proportional to 4,191.87, 5,784.89 and 2,303.50 is: 3,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.87 : 5,784.89 = 2,303.50 : x
  2. Step 2: Convert to fraction form
    4,191.87/5,784.89 = 2,303.50/x
  3. Step 3: Cross multiply
    4,191.87x = 5,784.89 × 2,303.50
  4. Step 4: Simplify right side
    4,191.87x = 13,325,494.12
  5. Step 5: Solve for x
    x = 13,325,494.12/4,191.87
  6. Step 6: Final answer
    x = 3,178.89

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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.