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Finding the Fourth Proportional to 4,916.88, 6,782.16 and 3,147.84

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Solution

The fourth proportional to 4,916.88, 6,782.16 and 3,147.84 is: 4,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.88 : 6,782.16 = 3,147.84 : x
  2. Step 2: Convert to fraction form
    4,916.88/6,782.16 = 3,147.84/x
  3. Step 3: Cross multiply
    4,916.88x = 6,782.16 × 3,147.84
  4. Step 4: Simplify right side
    4,916.88x = 21,349,154.53
  5. Step 5: Solve for x
    x = 21,349,154.53/4,916.88
  6. Step 6: Final answer
    x = 4,342.01

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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.