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Finding the Fourth Proportional to 5,807.09, 8,013.67 and 3,289.16

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Solution

The fourth proportional to 5,807.09, 8,013.67 and 3,289.16 is: 4,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.09 : 8,013.67 = 3,289.16 : x
  2. Step 2: Convert to fraction form
    5,807.09/8,013.67 = 3,289.16/x
  3. Step 3: Cross multiply
    5,807.09x = 8,013.67 × 3,289.16
  4. Step 4: Simplify right side
    5,807.09x = 26,358,242.82
  5. Step 5: Solve for x
    x = 26,358,242.82/5,807.09
  6. Step 6: Final answer
    x = 4,538.98

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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.