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Finding the Fourth Proportional to 4,004, 5,526.08 and 2,609.76

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Solution

The fourth proportional to 4,004, 5,526.08 and 2,609.76 is: 3,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004 : 5,526.08 = 2,609.76 : x
  2. Step 2: Convert to fraction form
    4,004/5,526.08 = 2,609.76/x
  3. Step 3: Cross multiply
    4,004x = 5,526.08 × 2,609.76
  4. Step 4: Simplify right side
    4,004x = 14,421,742.54
  5. Step 5: Solve for x
    x = 14,421,742.54/4,004
  6. Step 6: Final answer
    x = 3,601.83

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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.