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Finding the Fourth Proportional to 5,736.94, 7,916.80 and 3,498.01

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Solution

The fourth proportional to 5,736.94, 7,916.80 and 3,498.01 is: 4,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.94 : 7,916.80 = 3,498.01 : x
  2. Step 2: Convert to fraction form
    5,736.94/7,916.80 = 3,498.01/x
  3. Step 3: Cross multiply
    5,736.94x = 7,916.80 × 3,498.01
  4. Step 4: Simplify right side
    5,736.94x = 27,693,045.57
  5. Step 5: Solve for x
    x = 27,693,045.57/5,736.94
  6. Step 6: Final answer
    x = 4,827.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.