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Finding the Fourth Proportional to 4,916.40, 7,374.48 and 1,797.12

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Solution

The fourth proportional to 4,916.40, 7,374.48 and 1,797.12 is: 2,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.40 : 7,374.48 = 1,797.12 : x
  2. Step 2: Convert to fraction form
    4,916.40/7,374.48 = 1,797.12/x
  3. Step 3: Cross multiply
    4,916.40x = 7,374.48 × 1,797.12
  4. Step 4: Simplify right side
    4,916.40x = 13,252,825.50
  5. Step 5: Solve for x
    x = 13,252,825.50/4,916.40
  6. Step 6: Final answer
    x = 2,695.64

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Why These Related Problems?

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