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Finding the Fourth Proportional to 5,239.94, 7,823.55 and 4,715.06

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Solution

The fourth proportional to 5,239.94, 7,823.55 and 4,715.06 is: 7,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.94 : 7,823.55 = 4,715.06 : x
  2. Step 2: Convert to fraction form
    5,239.94/7,823.55 = 4,715.06/x
  3. Step 3: Cross multiply
    5,239.94x = 7,823.55 × 4,715.06
  4. Step 4: Simplify right side
    5,239.94x = 36,888,484.09
  5. Step 5: Solve for x
    x = 36,888,484.09/5,239.94
  6. Step 6: Final answer
    x = 7,039.87

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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.