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Finding the Fourth Proportional to 5,210.46, 7,147.62 and 4,928.00

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Solution

The fourth proportional to 5,210.46, 7,147.62 and 4,928.00 is: 6,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.46 : 7,147.62 = 4,928.00 : x
  2. Step 2: Convert to fraction form
    5,210.46/7,147.62 = 4,928.00/x
  3. Step 3: Cross multiply
    5,210.46x = 7,147.62 × 4,928.00
  4. Step 4: Simplify right side
    5,210.46x = 35,223,435.62
  5. Step 5: Solve for x
    x = 35,223,435.62/5,210.46
  6. Step 6: Final answer
    x = 6,760.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.