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Finding the Fourth Proportional to 3,873.56, 5,810.74 and 2,565.81

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Solution

The fourth proportional to 3,873.56, 5,810.74 and 2,565.81 is: 3,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.56 : 5,810.74 = 2,565.81 : x
  2. Step 2: Convert to fraction form
    3,873.56/5,810.74 = 2,565.81/x
  3. Step 3: Cross multiply
    3,873.56x = 5,810.74 × 2,565.81
  4. Step 4: Simplify right side
    3,873.56x = 14,909,248.38
  5. Step 5: Solve for x
    x = 14,909,248.38/3,873.56
  6. Step 6: Final answer
    x = 3,848.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.