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Finding the Fourth Proportional to 19,053, 28,581.48 and 5,202

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Solution

The fourth proportional to 19,053, 28,581.48 and 5,202 is: 7,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,053 : 28,581.48 = 5,202 : x
  2. Step 2: Convert to fraction form
    19,053/28,581.48 = 5,202/x
  3. Step 3: Cross multiply
    19,053x = 28,581.48 × 5,202
  4. Step 4: Simplify right side
    19,053x = 148,680,858.96
  5. Step 5: Solve for x
    x = 148,680,858.96/19,053
  6. Step 6: Final answer
    x = 7,803.54

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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.