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Finding the Fourth Proportional to 3,430.58, 5,147.92 and 1,482.78

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Solution

The fourth proportional to 3,430.58, 5,147.92 and 1,482.78 is: 2,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.58 : 5,147.92 = 1,482.78 : x
  2. Step 2: Convert to fraction form
    3,430.58/5,147.92 = 1,482.78/x
  3. Step 3: Cross multiply
    3,430.58x = 5,147.92 × 1,482.78
  4. Step 4: Simplify right side
    3,430.58x = 7,633,232.82
  5. Step 5: Solve for x
    x = 7,633,232.82/3,430.58
  6. Step 6: Final answer
    x = 2,225.06

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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.