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Finding the Fourth Proportional to 4,285.65, 6,427.47 and 1,652.28

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Solution

The fourth proportional to 4,285.65, 6,427.47 and 1,652.28 is: 2,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.65 : 6,427.47 = 1,652.28 : x
  2. Step 2: Convert to fraction form
    4,285.65/6,427.47 = 1,652.28/x
  3. Step 3: Cross multiply
    4,285.65x = 6,427.47 × 1,652.28
  4. Step 4: Simplify right side
    4,285.65x = 10,619,980.13
  5. Step 5: Solve for x
    x = 10,619,980.13/4,285.65
  6. Step 6: Final answer
    x = 2,478.03

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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.