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Finding the Fourth Proportional to 5,985.29, 8,225.94 and 4,656.71

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Solution

The fourth proportional to 5,985.29, 8,225.94 and 4,656.71 is: 6,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.29 : 8,225.94 = 4,656.71 : x
  2. Step 2: Convert to fraction form
    5,985.29/8,225.94 = 4,656.71/x
  3. Step 3: Cross multiply
    5,985.29x = 8,225.94 × 4,656.71
  4. Step 4: Simplify right side
    5,985.29x = 38,305,775.93
  5. Step 5: Solve for x
    x = 38,305,775.93/5,985.29
  6. Step 6: Final answer
    x = 6,399.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.