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Finding the Fourth Proportional to 5,203.98, 7,787.34 and 4,856.40

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Solution

The fourth proportional to 5,203.98, 7,787.34 and 4,856.40 is: 7,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.98 : 7,787.34 = 4,856.40 : x
  2. Step 2: Convert to fraction form
    5,203.98/7,787.34 = 4,856.40/x
  3. Step 3: Cross multiply
    5,203.98x = 7,787.34 × 4,856.40
  4. Step 4: Simplify right side
    5,203.98x = 37,818,437.98
  5. Step 5: Solve for x
    x = 37,818,437.98/5,203.98
  6. Step 6: Final answer
    x = 7,267.21

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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.