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Finding the Fourth Proportional to 4,555.60, 6,833.52 and 1,782.16

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Solution

The fourth proportional to 4,555.60, 6,833.52 and 1,782.16 is: 2,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.60 : 6,833.52 = 1,782.16 : x
  2. Step 2: Convert to fraction form
    4,555.60/6,833.52 = 1,782.16/x
  3. Step 3: Cross multiply
    4,555.60x = 6,833.52 × 1,782.16
  4. Step 4: Simplify right side
    4,555.60x = 12,178,426.00
  5. Step 5: Solve for x
    x = 12,178,426.00/4,555.60
  6. Step 6: Final answer
    x = 2,673.29

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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.