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Finding the Fourth Proportional to 4,332.16, 5,978.88 and 2,469.12

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Solution

The fourth proportional to 4,332.16, 5,978.88 and 2,469.12 is: 3,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.16 : 5,978.88 = 2,469.12 : x
  2. Step 2: Convert to fraction form
    4,332.16/5,978.88 = 2,469.12/x
  3. Step 3: Cross multiply
    4,332.16x = 5,978.88 × 2,469.12
  4. Step 4: Simplify right side
    4,332.16x = 14,762,572.19
  5. Step 5: Solve for x
    x = 14,762,572.19/4,332.16
  6. Step 6: Final answer
    x = 3,407.67

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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.