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Finding the Fourth Proportional to 5,718.36, 8,572 and 2,599.20

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Solution

The fourth proportional to 5,718.36, 8,572 and 2,599.20 is: 3,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.36 : 8,572 = 2,599.20 : x
  2. Step 2: Convert to fraction form
    5,718.36/8,572 = 2,599.20/x
  3. Step 3: Cross multiply
    5,718.36x = 8,572 × 2,599.20
  4. Step 4: Simplify right side
    5,718.36x = 22,280,342.40
  5. Step 5: Solve for x
    x = 22,280,342.40/5,718.36
  6. Step 6: Final answer
    x = 3,896.28

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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.