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Finding the Fourth Proportional to 3,986.46, 5,502 and 2,307.60

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Solution

The fourth proportional to 3,986.46, 5,502 and 2,307.60 is: 3,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.46 : 5,502 = 2,307.60 : x
  2. Step 2: Convert to fraction form
    3,986.46/5,502 = 2,307.60/x
  3. Step 3: Cross multiply
    3,986.46x = 5,502 × 2,307.60
  4. Step 4: Simplify right side
    3,986.46x = 12,696,415.20
  5. Step 5: Solve for x
    x = 12,696,415.20/3,986.46
  6. Step 6: Final answer
    x = 3,184.88

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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.