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Finding the Fourth Proportional to 4,513.60, 6,776.80 and 2,785.60

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Solution

The fourth proportional to 4,513.60, 6,776.80 and 2,785.60 is: 4,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.60 : 6,776.80 = 2,785.60 : x
  2. Step 2: Convert to fraction form
    4,513.60/6,776.80 = 2,785.60/x
  3. Step 3: Cross multiply
    4,513.60x = 6,776.80 × 2,785.60
  4. Step 4: Simplify right side
    4,513.60x = 18,877,454.08
  5. Step 5: Solve for x
    x = 18,877,454.08/4,513.60
  6. Step 6: Final answer
    x = 4,182.35

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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.