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Finding the Fourth Proportional to 6,507.29, 8,980.03 and 3,674.63

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Solution

The fourth proportional to 6,507.29, 8,980.03 and 3,674.63 is: 5,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.29 : 8,980.03 = 3,674.63 : x
  2. Step 2: Convert to fraction form
    6,507.29/8,980.03 = 3,674.63/x
  3. Step 3: Cross multiply
    6,507.29x = 8,980.03 × 3,674.63
  4. Step 4: Simplify right side
    6,507.29x = 32,998,300.90
  5. Step 5: Solve for x
    x = 32,998,300.90/6,507.29
  6. Step 6: Final answer
    x = 5,070.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.