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Finding the Fourth Proportional to 4,761.36, 6,572.52 and 2,898

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Solution

The fourth proportional to 4,761.36, 6,572.52 and 2,898 is: 4,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.36 : 6,572.52 = 2,898 : x
  2. Step 2: Convert to fraction form
    4,761.36/6,572.52 = 2,898/x
  3. Step 3: Cross multiply
    4,761.36x = 6,572.52 × 2,898
  4. Step 4: Simplify right side
    4,761.36x = 19,047,162.96
  5. Step 5: Solve for x
    x = 19,047,162.96/4,761.36
  6. Step 6: Final answer
    x = 4,000.36

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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.