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Finding the Fourth Proportional to 3,546.70, 4,895.45 and 2,130.84

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Solution

The fourth proportional to 3,546.70, 4,895.45 and 2,130.84 is: 2,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.70 : 4,895.45 = 2,130.84 : x
  2. Step 2: Convert to fraction form
    3,546.70/4,895.45 = 2,130.84/x
  3. Step 3: Cross multiply
    3,546.70x = 4,895.45 × 2,130.84
  4. Step 4: Simplify right side
    3,546.70x = 10,431,430.00
  5. Step 5: Solve for x
    x = 10,431,430.00/3,546.70
  6. Step 6: Final answer
    x = 2,941.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.