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Finding the Fourth Proportional to 5,138.18, 7,666.94 and 4,824.72

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Solution

The fourth proportional to 5,138.18, 7,666.94 and 4,824.72 is: 7,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.18 : 7,666.94 = 4,824.72 : x
  2. Step 2: Convert to fraction form
    5,138.18/7,666.94 = 4,824.72/x
  3. Step 3: Cross multiply
    5,138.18x = 7,666.94 × 4,824.72
  4. Step 4: Simplify right side
    5,138.18x = 36,990,838.76
  5. Step 5: Solve for x
    x = 36,990,838.76/5,138.18
  6. Step 6: Final answer
    x = 7,199.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.