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Finding the Fourth Proportional to 4,369.85, 6,030.38 and 2,380.40

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Solution

The fourth proportional to 4,369.85, 6,030.38 and 2,380.40 is: 3,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.85 : 6,030.38 = 2,380.40 : x
  2. Step 2: Convert to fraction form
    4,369.85/6,030.38 = 2,380.40/x
  3. Step 3: Cross multiply
    4,369.85x = 6,030.38 × 2,380.40
  4. Step 4: Simplify right side
    4,369.85x = 14,354,701.58
  5. Step 5: Solve for x
    x = 14,354,701.58/4,369.85
  6. Step 6: Final answer
    x = 3,284.94

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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.