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Finding the Fourth Proportional to 5,953.48, 8,222.22 and 4,642.84

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Solution

The fourth proportional to 5,953.48, 8,222.22 and 4,642.84 is: 6,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.48 : 8,222.22 = 4,642.84 : x
  2. Step 2: Convert to fraction form
    5,953.48/8,222.22 = 4,642.84/x
  3. Step 3: Cross multiply
    5,953.48x = 8,222.22 × 4,642.84
  4. Step 4: Simplify right side
    5,953.48x = 38,174,451.90
  5. Step 5: Solve for x
    x = 38,174,451.90/5,953.48
  6. Step 6: Final answer
    x = 6,412.12

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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.