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Finding the Fourth Proportional to 5,875.47, 8,816.24 and 3,902.47

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Solution

The fourth proportional to 5,875.47, 8,816.24 and 3,902.47 is: 5,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.47 : 8,816.24 = 3,902.47 : x
  2. Step 2: Convert to fraction form
    5,875.47/8,816.24 = 3,902.47/x
  3. Step 3: Cross multiply
    5,875.47x = 8,816.24 × 3,902.47
  4. Step 4: Simplify right side
    5,875.47x = 34,405,088.81
  5. Step 5: Solve for x
    x = 34,405,088.81/5,875.47
  6. Step 6: Final answer
    x = 5,855.71

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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.