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Finding the Fourth Proportional to 5,659.07, 7,813.30 and 5,059.61

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Solution

The fourth proportional to 5,659.07, 7,813.30 and 5,059.61 is: 6,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.07 : 7,813.30 = 5,059.61 : x
  2. Step 2: Convert to fraction form
    5,659.07/7,813.30 = 5,059.61/x
  3. Step 3: Cross multiply
    5,659.07x = 7,813.30 × 5,059.61
  4. Step 4: Simplify right side
    5,659.07x = 39,532,250.81
  5. Step 5: Solve for x
    x = 39,532,250.81/5,659.07
  6. Step 6: Final answer
    x = 6,985.64

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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.