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Finding the Fourth Proportional to 4,352.48, 6,002.08 and 2,780

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Solution

The fourth proportional to 4,352.48, 6,002.08 and 2,780 is: 3,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.48 : 6,002.08 = 2,780 : x
  2. Step 2: Convert to fraction form
    4,352.48/6,002.08 = 2,780/x
  3. Step 3: Cross multiply
    4,352.48x = 6,002.08 × 2,780
  4. Step 4: Simplify right side
    4,352.48x = 16,685,782.40
  5. Step 5: Solve for x
    x = 16,685,782.40/4,352.48
  6. Step 6: Final answer
    x = 3,833.63

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