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Finding the Fourth Proportional to 5,785.88, 8,678.82 and 1,625.72

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Solution

The fourth proportional to 5,785.88, 8,678.82 and 1,625.72 is: 2,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.88 : 8,678.82 = 1,625.72 : x
  2. Step 2: Convert to fraction form
    5,785.88/8,678.82 = 1,625.72/x
  3. Step 3: Cross multiply
    5,785.88x = 8,678.82 × 1,625.72
  4. Step 4: Simplify right side
    5,785.88x = 14,109,303.46
  5. Step 5: Solve for x
    x = 14,109,303.46/5,785.88
  6. Step 6: Final answer
    x = 2,438.58

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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.