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Finding the Fourth Proportional to 6,071.64, 8,379.50 and 3,715.35

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Solution

The fourth proportional to 6,071.64, 8,379.50 and 3,715.35 is: 5,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.64 : 8,379.50 = 3,715.35 : x
  2. Step 2: Convert to fraction form
    6,071.64/8,379.50 = 3,715.35/x
  3. Step 3: Cross multiply
    6,071.64x = 8,379.50 × 3,715.35
  4. Step 4: Simplify right side
    6,071.64x = 31,132,756.75
  5. Step 5: Solve for x
    x = 31,132,756.75/6,071.64
  6. Step 6: Final answer
    x = 5,127.57

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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.