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Finding the Fourth Proportional to 5,781.64, 8,674.53 and 1,886.05

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Solution

The fourth proportional to 5,781.64, 8,674.53 and 1,886.05 is: 2,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.64 : 8,674.53 = 1,886.05 : x
  2. Step 2: Convert to fraction form
    5,781.64/8,674.53 = 1,886.05/x
  3. Step 3: Cross multiply
    5,781.64x = 8,674.53 × 1,886.05
  4. Step 4: Simplify right side
    5,781.64x = 16,360,597.31
  5. Step 5: Solve for x
    x = 16,360,597.31/5,781.64
  6. Step 6: Final answer
    x = 2,829.75

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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.