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Finding the Fourth Proportional to 5,812.54, 8,718.80 and 1,652.48

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Solution

The fourth proportional to 5,812.54, 8,718.80 and 1,652.48 is: 2,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.54 : 8,718.80 = 1,652.48 : x
  2. Step 2: Convert to fraction form
    5,812.54/8,718.80 = 1,652.48/x
  3. Step 3: Cross multiply
    5,812.54x = 8,718.80 × 1,652.48
  4. Step 4: Simplify right side
    5,812.54x = 14,407,642.62
  5. Step 5: Solve for x
    x = 14,407,642.62/5,812.54
  6. Step 6: Final answer
    x = 2,478.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.