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Finding the Fourth Proportional to 5,497.28, 8,289.05 and 5,038.01

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Solution

The fourth proportional to 5,497.28, 8,289.05 and 5,038.01 is: 7,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.28 : 8,289.05 = 5,038.01 : x
  2. Step 2: Convert to fraction form
    5,497.28/8,289.05 = 5,038.01/x
  3. Step 3: Cross multiply
    5,497.28x = 8,289.05 × 5,038.01
  4. Step 4: Simplify right side
    5,497.28x = 41,760,316.79
  5. Step 5: Solve for x
    x = 41,760,316.79/5,497.28
  6. Step 6: Final answer
    x = 7,596.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.