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Finding the Fourth Proportional to 4,225.16, 5,824.50 and 3,437.84

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Solution

The fourth proportional to 4,225.16, 5,824.50 and 3,437.84 is: 4,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.16 : 5,824.50 = 3,437.84 : x
  2. Step 2: Convert to fraction form
    4,225.16/5,824.50 = 3,437.84/x
  3. Step 3: Cross multiply
    4,225.16x = 5,824.50 × 3,437.84
  4. Step 4: Simplify right side
    4,225.16x = 20,023,699.08
  5. Step 5: Solve for x
    x = 20,023,699.08/4,225.16
  6. Step 6: Final answer
    x = 4,739.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.