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Finding the Fourth Proportional to 5,597.02, 7,715.28 and 4,102.84

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Solution

The fourth proportional to 5,597.02, 7,715.28 and 4,102.84 is: 5,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.02 : 7,715.28 = 4,102.84 : x
  2. Step 2: Convert to fraction form
    5,597.02/7,715.28 = 4,102.84/x
  3. Step 3: Cross multiply
    5,597.02x = 7,715.28 × 4,102.84
  4. Step 4: Simplify right side
    5,597.02x = 31,654,559.40
  5. Step 5: Solve for x
    x = 31,654,559.40/5,597.02
  6. Step 6: Final answer
    x = 5,655.61

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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.