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Finding the Fourth Proportional to 5,913.94, 8,164.52 and 4,319

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Solution

The fourth proportional to 5,913.94, 8,164.52 and 4,319 is: 5,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.94 : 8,164.52 = 4,319 : x
  2. Step 2: Convert to fraction form
    5,913.94/8,164.52 = 4,319/x
  3. Step 3: Cross multiply
    5,913.94x = 8,164.52 × 4,319
  4. Step 4: Simplify right side
    5,913.94x = 35,262,561.88
  5. Step 5: Solve for x
    x = 35,262,561.88/5,913.94
  6. Step 6: Final answer
    x = 5,962.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.