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Finding the Fourth Proportional to 4,852.56, 7,277.31 and 1,564.95

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Solution

The fourth proportional to 4,852.56, 7,277.31 and 1,564.95 is: 2,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.56 : 7,277.31 = 1,564.95 : x
  2. Step 2: Convert to fraction form
    4,852.56/7,277.31 = 1,564.95/x
  3. Step 3: Cross multiply
    4,852.56x = 7,277.31 × 1,564.95
  4. Step 4: Simplify right side
    4,852.56x = 11,388,626.28
  5. Step 5: Solve for x
    x = 11,388,626.28/4,852.56
  6. Step 6: Final answer
    x = 2,346.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.