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Finding the Fourth Proportional to 4,555.34, 6,285.84 and 2,565.86

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Solution

The fourth proportional to 4,555.34, 6,285.84 and 2,565.86 is: 3,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.34 : 6,285.84 = 2,565.86 : x
  2. Step 2: Convert to fraction form
    4,555.34/6,285.84 = 2,565.86/x
  3. Step 3: Cross multiply
    4,555.34x = 6,285.84 × 2,565.86
  4. Step 4: Simplify right side
    4,555.34x = 16,128,585.42
  5. Step 5: Solve for x
    x = 16,128,585.42/4,555.34
  6. Step 6: Final answer
    x = 3,540.59

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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.