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Finding the Fourth Proportional to 4,642.56, 6,928.56 and 4,331.52

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Solution

The fourth proportional to 4,642.56, 6,928.56 and 4,331.52 is: 6,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.56 : 6,928.56 = 4,331.52 : x
  2. Step 2: Convert to fraction form
    4,642.56/6,928.56 = 4,331.52/x
  3. Step 3: Cross multiply
    4,642.56x = 6,928.56 × 4,331.52
  4. Step 4: Simplify right side
    4,642.56x = 30,011,196.21
  5. Step 5: Solve for x
    x = 30,011,196.21/4,642.56
  6. Step 6: Final answer
    x = 6,464.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.