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Finding the Fourth Proportional to 5,348, 8,023.28 and 1,700

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Solution

The fourth proportional to 5,348, 8,023.28 and 1,700 is: 2,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348 : 8,023.28 = 1,700 : x
  2. Step 2: Convert to fraction form
    5,348/8,023.28 = 1,700/x
  3. Step 3: Cross multiply
    5,348x = 8,023.28 × 1,700
  4. Step 4: Simplify right side
    5,348x = 13,639,576
  5. Step 5: Solve for x
    x = 13,639,576/5,348
  6. Step 6: Final answer
    x = 2,550.41

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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.