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Finding the Fourth Proportional to 3,787.89, 5,681.79 and 976.71

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Solution

The fourth proportional to 3,787.89, 5,681.79 and 976.71 is: 1,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.89 : 5,681.79 = 976.71 : x
  2. Step 2: Convert to fraction form
    3,787.89/5,681.79 = 976.71/x
  3. Step 3: Cross multiply
    3,787.89x = 5,681.79 × 976.71
  4. Step 4: Simplify right side
    3,787.89x = 5,549,461.11
  5. Step 5: Solve for x
    x = 5,549,461.11/3,787.89
  6. Step 6: Final answer
    x = 1,465.05

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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.