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Finding the Fourth Proportional to 5,798.20, 8,002.38 and 4,852.60

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Solution

The fourth proportional to 5,798.20, 8,002.38 and 4,852.60 is: 6,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.20 : 8,002.38 = 4,852.60 : x
  2. Step 2: Convert to fraction form
    5,798.20/8,002.38 = 4,852.60/x
  3. Step 3: Cross multiply
    5,798.20x = 8,002.38 × 4,852.60
  4. Step 4: Simplify right side
    5,798.20x = 38,832,349.19
  5. Step 5: Solve for x
    x = 38,832,349.19/5,798.20
  6. Step 6: Final answer
    x = 6,697.31

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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.