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Finding the Fourth Proportional to 4,573.86, 6,311.90 and 2,585.06

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Solution

The fourth proportional to 4,573.86, 6,311.90 and 2,585.06 is: 3,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.86 : 6,311.90 = 2,585.06 : x
  2. Step 2: Convert to fraction form
    4,573.86/6,311.90 = 2,585.06/x
  3. Step 3: Cross multiply
    4,573.86x = 6,311.90 × 2,585.06
  4. Step 4: Simplify right side
    4,573.86x = 16,316,640.21
  5. Step 5: Solve for x
    x = 16,316,640.21/4,573.86
  6. Step 6: Final answer
    x = 3,567.37

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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.