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Finding the Fourth Proportional to 4,386.50, 6,056.07 and 2,817.36

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Solution

The fourth proportional to 4,386.50, 6,056.07 and 2,817.36 is: 3,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.50 : 6,056.07 = 2,817.36 : x
  2. Step 2: Convert to fraction form
    4,386.50/6,056.07 = 2,817.36/x
  3. Step 3: Cross multiply
    4,386.50x = 6,056.07 × 2,817.36
  4. Step 4: Simplify right side
    4,386.50x = 17,062,129.38
  5. Step 5: Solve for x
    x = 17,062,129.38/4,386.50
  6. Step 6: Final answer
    x = 3,889.69

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Why These Related Problems?

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