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Finding the Fourth Proportional to 5,586.54, 7,707.87 and 3,196.50

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Solution

The fourth proportional to 5,586.54, 7,707.87 and 3,196.50 is: 4,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.54 : 7,707.87 = 3,196.50 : x
  2. Step 2: Convert to fraction form
    5,586.54/7,707.87 = 3,196.50/x
  3. Step 3: Cross multiply
    5,586.54x = 7,707.87 × 3,196.50
  4. Step 4: Simplify right side
    5,586.54x = 24,638,206.46
  5. Step 5: Solve for x
    x = 24,638,206.46/5,586.54
  6. Step 6: Final answer
    x = 4,410.28

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1.5x scale

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.