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Finding the Fourth Proportional to 3,848.82, 5,769.80 and 1,510.50

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Solution

The fourth proportional to 3,848.82, 5,769.80 and 1,510.50 is: 2,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.82 : 5,769.80 = 1,510.50 : x
  2. Step 2: Convert to fraction form
    3,848.82/5,769.80 = 1,510.50/x
  3. Step 3: Cross multiply
    3,848.82x = 5,769.80 × 1,510.50
  4. Step 4: Simplify right side
    3,848.82x = 8,715,275.35
  5. Step 5: Solve for x
    x = 8,715,275.35/3,848.82
  6. Step 6: Final answer
    x = 2,264.40

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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.