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Finding the Fourth Proportional to 3,875.90, 5,813.89 and 1,536.48

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Solution

The fourth proportional to 3,875.90, 5,813.89 and 1,536.48 is: 2,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.90 : 5,813.89 = 1,536.48 : x
  2. Step 2: Convert to fraction form
    3,875.90/5,813.89 = 1,536.48/x
  3. Step 3: Cross multiply
    3,875.90x = 5,813.89 × 1,536.48
  4. Step 4: Simplify right side
    3,875.90x = 8,932,925.71
  5. Step 5: Solve for x
    x = 8,932,925.71/3,875.90
  6. Step 6: Final answer
    x = 2,304.74

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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.