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Finding the Fourth Proportional to 4,877.40, 7,316.10 and 3,783.90

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Solution

The fourth proportional to 4,877.40, 7,316.10 and 3,783.90 is: 5,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.40 : 7,316.10 = 3,783.90 : x
  2. Step 2: Convert to fraction form
    4,877.40/7,316.10 = 3,783.90/x
  3. Step 3: Cross multiply
    4,877.40x = 7,316.10 × 3,783.90
  4. Step 4: Simplify right side
    4,877.40x = 27,683,390.79
  5. Step 5: Solve for x
    x = 27,683,390.79/4,877.40
  6. Step 6: Final answer
    x = 5,675.85

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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.