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Finding the Fourth Proportional to 4,566, 6,298.56 and 3,071.28

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Solution

The fourth proportional to 4,566, 6,298.56 and 3,071.28 is: 4,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 6,298.56 = 3,071.28 : x
  2. Step 2: Convert to fraction form
    4,566/6,298.56 = 3,071.28/x
  3. Step 3: Cross multiply
    4,566x = 6,298.56 × 3,071.28
  4. Step 4: Simplify right side
    4,566x = 19,344,641.36
  5. Step 5: Solve for x
    x = 19,344,641.36/4,566
  6. Step 6: Final answer
    x = 4,236.67

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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.