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Finding the Fourth Proportional to 4,333.62, 6,466.43 and 4,069.16

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Solution

The fourth proportional to 4,333.62, 6,466.43 and 4,069.16 is: 6,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.62 : 6,466.43 = 4,069.16 : x
  2. Step 2: Convert to fraction form
    4,333.62/6,466.43 = 4,069.16/x
  3. Step 3: Cross multiply
    4,333.62x = 6,466.43 × 4,069.16
  4. Step 4: Simplify right side
    4,333.62x = 26,312,885.62
  5. Step 5: Solve for x
    x = 26,312,885.62/4,333.62
  6. Step 6: Final answer
    x = 6,071.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.