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Finding the Fourth Proportional to 5,696.63, 7,861.65 and 3,339.53

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Solution

The fourth proportional to 5,696.63, 7,861.65 and 3,339.53 is: 4,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.63 : 7,861.65 = 3,339.53 : x
  2. Step 2: Convert to fraction form
    5,696.63/7,861.65 = 3,339.53/x
  3. Step 3: Cross multiply
    5,696.63x = 7,861.65 × 3,339.53
  4. Step 4: Simplify right side
    5,696.63x = 26,254,176.72
  5. Step 5: Solve for x
    x = 26,254,176.72/5,696.63
  6. Step 6: Final answer
    x = 4,608.72

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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.