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Finding the Fourth Proportional to 5,926.32, 8,896.68 and 5,430.60

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Solution

The fourth proportional to 5,926.32, 8,896.68 and 5,430.60 is: 8,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.32 : 8,896.68 = 5,430.60 : x
  2. Step 2: Convert to fraction form
    5,926.32/8,896.68 = 5,430.60/x
  3. Step 3: Cross multiply
    5,926.32x = 8,896.68 × 5,430.60
  4. Step 4: Simplify right side
    5,926.32x = 48,314,310.41
  5. Step 5: Solve for x
    x = 48,314,310.41/5,926.32
  6. Step 6: Final answer
    x = 8,152.50

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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.