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Finding the Fourth Proportional to 4,852.59, 7,277.34 and 1,564.92

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Solution

The fourth proportional to 4,852.59, 7,277.34 and 1,564.92 is: 2,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.59 : 7,277.34 = 1,564.92 : x
  2. Step 2: Convert to fraction form
    4,852.59/7,277.34 = 1,564.92/x
  3. Step 3: Cross multiply
    4,852.59x = 7,277.34 × 1,564.92
  4. Step 4: Simplify right side
    4,852.59x = 11,388,460.78
  5. Step 5: Solve for x
    x = 11,388,460.78/4,852.59
  6. Step 6: Final answer
    x = 2,346.88

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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.