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Finding the Fourth Proportional to 5,319.68, 7,968.64 and 4,336

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Solution

The fourth proportional to 5,319.68, 7,968.64 and 4,336 is: 6,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.68 : 7,968.64 = 4,336 : x
  2. Step 2: Convert to fraction form
    5,319.68/7,968.64 = 4,336/x
  3. Step 3: Cross multiply
    5,319.68x = 7,968.64 × 4,336
  4. Step 4: Simplify right side
    5,319.68x = 34,552,023.04
  5. Step 5: Solve for x
    x = 34,552,023.04/5,319.68
  6. Step 6: Final answer
    x = 6,495.13

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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.