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Finding the Fourth Proportional to 5,635.76, 7,770.28 and 3,615.61

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Solution

The fourth proportional to 5,635.76, 7,770.28 and 3,615.61 is: 4,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.76 : 7,770.28 = 3,615.61 : x
  2. Step 2: Convert to fraction form
    5,635.76/7,770.28 = 3,615.61/x
  3. Step 3: Cross multiply
    5,635.76x = 7,770.28 × 3,615.61
  4. Step 4: Simplify right side
    5,635.76x = 28,094,302.07
  5. Step 5: Solve for x
    x = 28,094,302.07/5,635.76
  6. Step 6: Final answer
    x = 4,985.01

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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.