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Finding the Fourth Proportional to 4,817.36, 6,645.06 and 2,927.64

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Solution

The fourth proportional to 4,817.36, 6,645.06 and 2,927.64 is: 4,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.36 : 6,645.06 = 2,927.64 : x
  2. Step 2: Convert to fraction form
    4,817.36/6,645.06 = 2,927.64/x
  3. Step 3: Cross multiply
    4,817.36x = 6,645.06 × 2,927.64
  4. Step 4: Simplify right side
    4,817.36x = 19,454,343.46
  5. Step 5: Solve for x
    x = 19,454,343.46/4,817.36
  6. Step 6: Final answer
    x = 4,038.38

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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.