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Finding the Fourth Proportional to 6,002.95, 9,004.90 and 1,620.34

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Solution

The fourth proportional to 6,002.95, 9,004.90 and 1,620.34 is: 2,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.95 : 9,004.90 = 1,620.34 : x
  2. Step 2: Convert to fraction form
    6,002.95/9,004.90 = 1,620.34/x
  3. Step 3: Cross multiply
    6,002.95x = 9,004.90 × 1,620.34
  4. Step 4: Simplify right side
    6,002.95x = 14,590,999.67
  5. Step 5: Solve for x
    x = 14,590,999.67/6,002.95
  6. Step 6: Final answer
    x = 2,430.64

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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.