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Finding the Fourth Proportional to 5,602.63, 7,731.57 and 3,084.69

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Solution

The fourth proportional to 5,602.63, 7,731.57 and 3,084.69 is: 4,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.63 : 7,731.57 = 3,084.69 : x
  2. Step 2: Convert to fraction form
    5,602.63/7,731.57 = 3,084.69/x
  3. Step 3: Cross multiply
    5,602.63x = 7,731.57 × 3,084.69
  4. Step 4: Simplify right side
    5,602.63x = 23,849,496.66
  5. Step 5: Solve for x
    x = 23,849,496.66/5,602.63
  6. Step 6: Final answer
    x = 4,256.84

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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.