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Finding the Fourth Proportional to 5,196.84, 7,795.26 and 4,803.18

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Solution

The fourth proportional to 5,196.84, 7,795.26 and 4,803.18 is: 7,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.84 : 7,795.26 = 4,803.18 : x
  2. Step 2: Convert to fraction form
    5,196.84/7,795.26 = 4,803.18/x
  3. Step 3: Cross multiply
    5,196.84x = 7,795.26 × 4,803.18
  4. Step 4: Simplify right side
    5,196.84x = 37,442,036.93
  5. Step 5: Solve for x
    x = 37,442,036.93/5,196.84
  6. Step 6: Final answer
    x = 7,204.77

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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.