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Finding the Fourth Proportional to 4,645.56, 6,970.50 and 1,725.96

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Solution

The fourth proportional to 4,645.56, 6,970.50 and 1,725.96 is: 2,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.56 : 6,970.50 = 1,725.96 : x
  2. Step 2: Convert to fraction form
    4,645.56/6,970.50 = 1,725.96/x
  3. Step 3: Cross multiply
    4,645.56x = 6,970.50 × 1,725.96
  4. Step 4: Simplify right side
    4,645.56x = 12,030,804.18
  5. Step 5: Solve for x
    x = 12,030,804.18/4,645.56
  6. Step 6: Final answer
    x = 2,589.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.