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Finding the Fourth Proportional to 5,674.36, 8,510.33 and 1,776.64

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Solution

The fourth proportional to 5,674.36, 8,510.33 and 1,776.64 is: 2,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.36 : 8,510.33 = 1,776.64 : x
  2. Step 2: Convert to fraction form
    5,674.36/8,510.33 = 1,776.64/x
  3. Step 3: Cross multiply
    5,674.36x = 8,510.33 × 1,776.64
  4. Step 4: Simplify right side
    5,674.36x = 15,119,792.69
  5. Step 5: Solve for x
    x = 15,119,792.69/5,674.36
  6. Step 6: Final answer
    x = 2,664.58

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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.