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Finding the Fourth Proportional to 4,572.36, 6,858.72 and 1,285.74

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Solution

The fourth proportional to 4,572.36, 6,858.72 and 1,285.74 is: 1,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.36 : 6,858.72 = 1,285.74 : x
  2. Step 2: Convert to fraction form
    4,572.36/6,858.72 = 1,285.74/x
  3. Step 3: Cross multiply
    4,572.36x = 6,858.72 × 1,285.74
  4. Step 4: Simplify right side
    4,572.36x = 8,818,530.65
  5. Step 5: Solve for x
    x = 8,818,530.65/4,572.36
  6. Step 6: Final answer
    x = 1,928.66

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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.