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Finding the Fourth Proportional to 5,602.28, 8,415.66 and 4,814.96

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Solution

The fourth proportional to 5,602.28, 8,415.66 and 4,814.96 is: 7,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.28 : 8,415.66 = 4,814.96 : x
  2. Step 2: Convert to fraction form
    5,602.28/8,415.66 = 4,814.96/x
  3. Step 3: Cross multiply
    5,602.28x = 8,415.66 × 4,814.96
  4. Step 4: Simplify right side
    5,602.28x = 40,521,066.27
  5. Step 5: Solve for x
    x = 40,521,066.27/5,602.28
  6. Step 6: Final answer
    x = 7,232.96

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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.