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Finding the Fourth Proportional to 4,752, 7,128.96 and 2,016

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Solution

The fourth proportional to 4,752, 7,128.96 and 2,016 is: 3,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752 : 7,128.96 = 2,016 : x
  2. Step 2: Convert to fraction form
    4,752/7,128.96 = 2,016/x
  3. Step 3: Cross multiply
    4,752x = 7,128.96 × 2,016
  4. Step 4: Simplify right side
    4,752x = 14,371,983.36
  5. Step 5: Solve for x
    x = 14,371,983.36/4,752
  6. Step 6: Final answer
    x = 3,024.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.