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Finding the Fourth Proportional to 5,696.30, 8,532.30 and 4,967.30

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Solution

The fourth proportional to 5,696.30, 8,532.30 and 4,967.30 is: 7,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.30 : 8,532.30 = 4,967.30 : x
  2. Step 2: Convert to fraction form
    5,696.30/8,532.30 = 4,967.30/x
  3. Step 3: Cross multiply
    5,696.30x = 8,532.30 × 4,967.30
  4. Step 4: Simplify right side
    5,696.30x = 42,382,493.79
  5. Step 5: Solve for x
    x = 42,382,493.79/5,696.30
  6. Step 6: Final answer
    x = 7,440.35

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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.