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Finding the Fourth Proportional to 5,201.53, 7,802.97 and 1,916.94

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Solution

The fourth proportional to 5,201.53, 7,802.97 and 1,916.94 is: 2,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.53 : 7,802.97 = 1,916.94 : x
  2. Step 2: Convert to fraction form
    5,201.53/7,802.97 = 1,916.94/x
  3. Step 3: Cross multiply
    5,201.53x = 7,802.97 × 1,916.94
  4. Step 4: Simplify right side
    5,201.53x = 14,957,825.31
  5. Step 5: Solve for x
    x = 14,957,825.31/5,201.53
  6. Step 6: Final answer
    x = 2,875.66

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1.5x scale

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.