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Finding the Fourth Proportional to 4,773.60, 7,152.12 and 2,583.84

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Solution

The fourth proportional to 4,773.60, 7,152.12 and 2,583.84 is: 3,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.60 : 7,152.12 = 2,583.84 : x
  2. Step 2: Convert to fraction form
    4,773.60/7,152.12 = 2,583.84/x
  3. Step 3: Cross multiply
    4,773.60x = 7,152.12 × 2,583.84
  4. Step 4: Simplify right side
    4,773.60x = 18,479,933.74
  5. Step 5: Solve for x
    x = 18,479,933.74/4,773.60
  6. Step 6: Final answer
    x = 3,871.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.