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Finding the Fourth Proportional to 5,883.48, 8,824.80 and 3,416.76

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Solution

The fourth proportional to 5,883.48, 8,824.80 and 3,416.76 is: 5,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.48 : 8,824.80 = 3,416.76 : x
  2. Step 2: Convert to fraction form
    5,883.48/8,824.80 = 3,416.76/x
  3. Step 3: Cross multiply
    5,883.48x = 8,824.80 × 3,416.76
  4. Step 4: Simplify right side
    5,883.48x = 30,152,223.65
  5. Step 5: Solve for x
    x = 30,152,223.65/5,883.48
  6. Step 6: Final answer
    x = 5,124.90

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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.