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Finding the Fourth Proportional to 4,454.60, 6,682.80 and 1,533.13

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Solution

The fourth proportional to 4,454.60, 6,682.80 and 1,533.13 is: 2,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.60 : 6,682.80 = 1,533.13 : x
  2. Step 2: Convert to fraction form
    4,454.60/6,682.80 = 1,533.13/x
  3. Step 3: Cross multiply
    4,454.60x = 6,682.80 × 1,533.13
  4. Step 4: Simplify right side
    4,454.60x = 10,245,590.21
  5. Step 5: Solve for x
    x = 10,245,590.21/4,454.60
  6. Step 6: Final answer
    x = 2,300.00

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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.