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Finding the Fourth Proportional to 4,647.60, 6,970.19 and 1,724.31

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Solution

The fourth proportional to 4,647.60, 6,970.19 and 1,724.31 is: 2,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.60 : 6,970.19 = 1,724.31 : x
  2. Step 2: Convert to fraction form
    4,647.60/6,970.19 = 1,724.31/x
  3. Step 3: Cross multiply
    4,647.60x = 6,970.19 × 1,724.31
  4. Step 4: Simplify right side
    4,647.60x = 12,018,759.70
  5. Step 5: Solve for x
    x = 12,018,759.70/4,647.60
  6. Step 6: Final answer
    x = 2,586.01

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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.