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Finding the Fourth Proportional to 4,214.76, 6,308.37 and 3,810.57

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Solution

The fourth proportional to 4,214.76, 6,308.37 and 3,810.57 is: 5,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.76 : 6,308.37 = 3,810.57 : x
  2. Step 2: Convert to fraction form
    4,214.76/6,308.37 = 3,810.57/x
  3. Step 3: Cross multiply
    4,214.76x = 6,308.37 × 3,810.57
  4. Step 4: Simplify right side
    4,214.76x = 24,038,485.47
  5. Step 5: Solve for x
    x = 24,038,485.47/4,214.76
  6. Step 6: Final answer
    x = 5,703.41

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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.