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Finding the Fourth Proportional to 4,316.34, 6,468.90 and 2,125.68

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Solution

The fourth proportional to 4,316.34, 6,468.90 and 2,125.68 is: 3,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.34 : 6,468.90 = 2,125.68 : x
  2. Step 2: Convert to fraction form
    4,316.34/6,468.90 = 2,125.68/x
  3. Step 3: Cross multiply
    4,316.34x = 6,468.90 × 2,125.68
  4. Step 4: Simplify right side
    4,316.34x = 13,750,811.35
  5. Step 5: Solve for x
    x = 13,750,811.35/4,316.34
  6. Step 6: Final answer
    x = 3,185.76

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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.