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Finding the Fourth Proportional to 5,580.76, 8,371.06 and 1,685.16

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Solution

The fourth proportional to 5,580.76, 8,371.06 and 1,685.16 is: 2,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.76 : 8,371.06 = 1,685.16 : x
  2. Step 2: Convert to fraction form
    5,580.76/8,371.06 = 1,685.16/x
  3. Step 3: Cross multiply
    5,580.76x = 8,371.06 × 1,685.16
  4. Step 4: Simplify right side
    5,580.76x = 14,106,602.65
  5. Step 5: Solve for x
    x = 14,106,602.65/5,580.76
  6. Step 6: Final answer
    x = 2,527.72

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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.