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Finding the Fourth Proportional to 4,916.96, 7,363.88 and 4,275.54

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Solution

The fourth proportional to 4,916.96, 7,363.88 and 4,275.54 is: 6,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.96 : 7,363.88 = 4,275.54 : x
  2. Step 2: Convert to fraction form
    4,916.96/7,363.88 = 4,275.54/x
  3. Step 3: Cross multiply
    4,916.96x = 7,363.88 × 4,275.54
  4. Step 4: Simplify right side
    4,916.96x = 31,484,574.18
  5. Step 5: Solve for x
    x = 31,484,574.18/4,916.96
  6. Step 6: Final answer
    x = 6,403.27

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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.