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Finding the Fourth Proportional to 5,762.34, 8,639.56 and 2,064.49

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Solution

The fourth proportional to 5,762.34, 8,639.56 and 2,064.49 is: 3,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.34 : 8,639.56 = 2,064.49 : x
  2. Step 2: Convert to fraction form
    5,762.34/8,639.56 = 2,064.49/x
  3. Step 3: Cross multiply
    5,762.34x = 8,639.56 × 2,064.49
  4. Step 4: Simplify right side
    5,762.34x = 17,836,266.21
  5. Step 5: Solve for x
    x = 17,836,266.21/5,762.34
  6. Step 6: Final answer
    x = 3,095.32

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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.