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Finding the Fourth Proportional to 6,485.58, 9,710.19 and 3,513.38

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Solution

The fourth proportional to 6,485.58, 9,710.19 and 3,513.38 is: 5,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.58 : 9,710.19 = 3,513.38 : x
  2. Step 2: Convert to fraction form
    6,485.58/9,710.19 = 3,513.38/x
  3. Step 3: Cross multiply
    6,485.58x = 9,710.19 × 3,513.38
  4. Step 4: Simplify right side
    6,485.58x = 34,115,538.79
  5. Step 5: Solve for x
    x = 34,115,538.79/6,485.58
  6. Step 6: Final answer
    x = 5,260.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.