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Finding the Fourth Proportional to 3,430.74, 5,146.11 and 1,482.95

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Solution

The fourth proportional to 3,430.74, 5,146.11 and 1,482.95 is: 2,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.74 : 5,146.11 = 1,482.95 : x
  2. Step 2: Convert to fraction form
    3,430.74/5,146.11 = 1,482.95/x
  3. Step 3: Cross multiply
    3,430.74x = 5,146.11 × 1,482.95
  4. Step 4: Simplify right side
    3,430.74x = 7,631,398.09
  5. Step 5: Solve for x
    x = 7,631,398.09/3,430.74
  6. Step 6: Final answer
    x = 2,224.42

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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.