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Finding the Fourth Proportional to 4,316.44, 6,478.02 and 3,009.40

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Solution

The fourth proportional to 4,316.44, 6,478.02 and 3,009.40 is: 4,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.44 : 6,478.02 = 3,009.40 : x
  2. Step 2: Convert to fraction form
    4,316.44/6,478.02 = 3,009.40/x
  3. Step 3: Cross multiply
    4,316.44x = 6,478.02 × 3,009.40
  4. Step 4: Simplify right side
    4,316.44x = 19,494,953.39
  5. Step 5: Solve for x
    x = 19,494,953.39/4,316.44
  6. Step 6: Final answer
    x = 4,516.44

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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.