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Finding the Fourth Proportional to 5,899.68, 8,841.24 and 4,661.64

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Solution

The fourth proportional to 5,899.68, 8,841.24 and 4,661.64 is: 6,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.68 : 8,841.24 = 4,661.64 : x
  2. Step 2: Convert to fraction form
    5,899.68/8,841.24 = 4,661.64/x
  3. Step 3: Cross multiply
    5,899.68x = 8,841.24 × 4,661.64
  4. Step 4: Simplify right side
    5,899.68x = 41,214,678.03
  5. Step 5: Solve for x
    x = 41,214,678.03/5,899.68
  6. Step 6: Final answer
    x = 6,985.92

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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.