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Finding the Fourth Proportional to 5,205.56, 7,810.16 and 2,283.48

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Solution

The fourth proportional to 5,205.56, 7,810.16 and 2,283.48 is: 3,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.56 : 7,810.16 = 2,283.48 : x
  2. Step 2: Convert to fraction form
    5,205.56/7,810.16 = 2,283.48/x
  3. Step 3: Cross multiply
    5,205.56x = 7,810.16 × 2,283.48
  4. Step 4: Simplify right side
    5,205.56x = 17,834,332.74
  5. Step 5: Solve for x
    x = 17,834,332.74/5,205.56
  6. Step 6: Final answer
    x = 3,426.02

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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.