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Finding the Fourth Proportional to 4,533.06, 6,797.88 and 1,570.77

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Solution

The fourth proportional to 4,533.06, 6,797.88 and 1,570.77 is: 2,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.06 : 6,797.88 = 1,570.77 : x
  2. Step 2: Convert to fraction form
    4,533.06/6,797.88 = 1,570.77/x
  3. Step 3: Cross multiply
    4,533.06x = 6,797.88 × 1,570.77
  4. Step 4: Simplify right side
    4,533.06x = 10,677,905.97
  5. Step 5: Solve for x
    x = 10,677,905.97/4,533.06
  6. Step 6: Final answer
    x = 2,355.56

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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.