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Finding the Fourth Proportional to 4,658.29, 6,989 and 1,883.47

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Solution

The fourth proportional to 4,658.29, 6,989 and 1,883.47 is: 2,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.29 : 6,989 = 1,883.47 : x
  2. Step 2: Convert to fraction form
    4,658.29/6,989 = 1,883.47/x
  3. Step 3: Cross multiply
    4,658.29x = 6,989 × 1,883.47
  4. Step 4: Simplify right side
    4,658.29x = 13,163,571.83
  5. Step 5: Solve for x
    x = 13,163,571.83/4,658.29
  6. Step 6: Final answer
    x = 2,825.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.