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Finding the Fourth Proportional to 4,176.56, 6,259.92 and 1,710.16

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Solution

The fourth proportional to 4,176.56, 6,259.92 and 1,710.16 is: 2,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.56 : 6,259.92 = 1,710.16 : x
  2. Step 2: Convert to fraction form
    4,176.56/6,259.92 = 1,710.16/x
  3. Step 3: Cross multiply
    4,176.56x = 6,259.92 × 1,710.16
  4. Step 4: Simplify right side
    4,176.56x = 10,705,464.79
  5. Step 5: Solve for x
    x = 10,705,464.79/4,176.56
  6. Step 6: Final answer
    x = 2,563.23

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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.