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Finding the Fourth Proportional to 6,505.67, 8,975.72 and 3,985.16

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Solution

The fourth proportional to 6,505.67, 8,975.72 and 3,985.16 is: 5,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.67 : 8,975.72 = 3,985.16 : x
  2. Step 2: Convert to fraction form
    6,505.67/8,975.72 = 3,985.16/x
  3. Step 3: Cross multiply
    6,505.67x = 8,975.72 × 3,985.16
  4. Step 4: Simplify right side
    6,505.67x = 35,769,615.51
  5. Step 5: Solve for x
    x = 35,769,615.51/6,505.67
  6. Step 6: Final answer
    x = 5,498.23

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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.