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Finding the Fourth Proportional to 5,697.47, 7,870.97 and 5,653.73

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Solution

The fourth proportional to 5,697.47, 7,870.97 and 5,653.73 is: 7,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.47 : 7,870.97 = 5,653.73 : x
  2. Step 2: Convert to fraction form
    5,697.47/7,870.97 = 5,653.73/x
  3. Step 3: Cross multiply
    5,697.47x = 7,870.97 × 5,653.73
  4. Step 4: Simplify right side
    5,697.47x = 44,500,339.22
  5. Step 5: Solve for x
    x = 44,500,339.22/5,697.47
  6. Step 6: Final answer
    x = 7,810.54

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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.