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Finding the Fourth Proportional to 5,832.84, 8,746.02 and 1,935.12

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Solution

The fourth proportional to 5,832.84, 8,746.02 and 1,935.12 is: 2,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.84 : 8,746.02 = 1,935.12 : x
  2. Step 2: Convert to fraction form
    5,832.84/8,746.02 = 1,935.12/x
  3. Step 3: Cross multiply
    5,832.84x = 8,746.02 × 1,935.12
  4. Step 4: Simplify right side
    5,832.84x = 16,924,598.22
  5. Step 5: Solve for x
    x = 16,924,598.22/5,832.84
  6. Step 6: Final answer
    x = 2,901.61

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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.