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Finding the Fourth Proportional to 5,597.35, 7,683.13 and 4,953.86

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Solution

The fourth proportional to 5,597.35, 7,683.13 and 4,953.86 is: 6,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.35 : 7,683.13 = 4,953.86 : x
  2. Step 2: Convert to fraction form
    5,597.35/7,683.13 = 4,953.86/x
  3. Step 3: Cross multiply
    5,597.35x = 7,683.13 × 4,953.86
  4. Step 4: Simplify right side
    5,597.35x = 38,061,133.04
  5. Step 5: Solve for x
    x = 38,061,133.04/5,597.35
  6. Step 6: Final answer
    x = 6,799.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.