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Finding the Fourth Proportional to 5,384.50, 7,430.02 and 3,026.60

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Solution

The fourth proportional to 5,384.50, 7,430.02 and 3,026.60 is: 4,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.50 : 7,430.02 = 3,026.60 : x
  2. Step 2: Convert to fraction form
    5,384.50/7,430.02 = 3,026.60/x
  3. Step 3: Cross multiply
    5,384.50x = 7,430.02 × 3,026.60
  4. Step 4: Simplify right side
    5,384.50x = 22,487,698.53
  5. Step 5: Solve for x
    x = 22,487,698.53/5,384.50
  6. Step 6: Final answer
    x = 4,176.38

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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.