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Finding the Fourth Proportional to 4,655.67, 6,416.58 and 4,112.56

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Solution

The fourth proportional to 4,655.67, 6,416.58 and 4,112.56 is: 5,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.67 : 6,416.58 = 4,112.56 : x
  2. Step 2: Convert to fraction form
    4,655.67/6,416.58 = 4,112.56/x
  3. Step 3: Cross multiply
    4,655.67x = 6,416.58 × 4,112.56
  4. Step 4: Simplify right side
    4,655.67x = 26,388,570.24
  5. Step 5: Solve for x
    x = 26,388,570.24/4,655.67
  6. Step 6: Final answer
    x = 5,668.05

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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.