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Finding the Fourth Proportional to 4,534.40, 6,812.40 and 4,059.20

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Solution

The fourth proportional to 4,534.40, 6,812.40 and 4,059.20 is: 6,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.40 : 6,812.40 = 4,059.20 : x
  2. Step 2: Convert to fraction form
    4,534.40/6,812.40 = 4,059.20/x
  3. Step 3: Cross multiply
    4,534.40x = 6,812.40 × 4,059.20
  4. Step 4: Simplify right side
    4,534.40x = 27,652,894.08
  5. Step 5: Solve for x
    x = 27,652,894.08/4,534.40
  6. Step 6: Final answer
    x = 6,098.47

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1.5x scale

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.