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Finding the Fourth Proportional to 4,580.22, 6,864.98 and 4,061.22

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Solution

The fourth proportional to 4,580.22, 6,864.98 and 4,061.22 is: 6,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.22 : 6,864.98 = 4,061.22 : x
  2. Step 2: Convert to fraction form
    4,580.22/6,864.98 = 4,061.22/x
  3. Step 3: Cross multiply
    4,580.22x = 6,864.98 × 4,061.22
  4. Step 4: Simplify right side
    4,580.22x = 27,880,173.77
  5. Step 5: Solve for x
    x = 27,880,173.77/4,580.22
  6. Step 6: Final answer
    x = 6,087.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.