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Finding the Fourth Proportional to 5,780.64, 8,673.03 and 1,885.05

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Solution

The fourth proportional to 5,780.64, 8,673.03 and 1,885.05 is: 2,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.64 : 8,673.03 = 1,885.05 : x
  2. Step 2: Convert to fraction form
    5,780.64/8,673.03 = 1,885.05/x
  3. Step 3: Cross multiply
    5,780.64x = 8,673.03 × 1,885.05
  4. Step 4: Simplify right side
    5,780.64x = 16,349,095.20
  5. Step 5: Solve for x
    x = 16,349,095.20/5,780.64
  6. Step 6: Final answer
    x = 2,828.25

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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.