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Finding the Fourth Proportional to 5,068.24, 7,604.64 and 3,218.86

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Solution

The fourth proportional to 5,068.24, 7,604.64 and 3,218.86 is: 4,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.24 : 7,604.64 = 3,218.86 : x
  2. Step 2: Convert to fraction form
    5,068.24/7,604.64 = 3,218.86/x
  3. Step 3: Cross multiply
    5,068.24x = 7,604.64 × 3,218.86
  4. Step 4: Simplify right side
    5,068.24x = 24,478,271.51
  5. Step 5: Solve for x
    x = 24,478,271.51/5,068.24
  6. Step 6: Final answer
    x = 4,829.74

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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.