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Finding the Fourth Proportional to 5,466.89, 7,526.05 and 5,215.81

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Solution

The fourth proportional to 5,466.89, 7,526.05 and 5,215.81 is: 7,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.89 : 7,526.05 = 5,215.81 : x
  2. Step 2: Convert to fraction form
    5,466.89/7,526.05 = 5,215.81/x
  3. Step 3: Cross multiply
    5,466.89x = 7,526.05 × 5,215.81
  4. Step 4: Simplify right side
    5,466.89x = 39,254,450.27
  5. Step 5: Solve for x
    x = 39,254,450.27/5,466.89
  6. Step 6: Final answer
    x = 7,180.40

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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.