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Finding the Fourth Proportional to 4,365.80, 6,024.83 and 2,376.34

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Solution

The fourth proportional to 4,365.80, 6,024.83 and 2,376.34 is: 3,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.80 : 6,024.83 = 2,376.34 : x
  2. Step 2: Convert to fraction form
    4,365.80/6,024.83 = 2,376.34/x
  3. Step 3: Cross multiply
    4,365.80x = 6,024.83 × 2,376.34
  4. Step 4: Simplify right side
    4,365.80x = 14,317,044.52
  5. Step 5: Solve for x
    x = 14,317,044.52/4,365.80
  6. Step 6: Final answer
    x = 3,279.36

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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.