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Finding the Fourth Proportional to 4,671.96, 6,433.07 and 4,374.50

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Solution

The fourth proportional to 4,671.96, 6,433.07 and 4,374.50 is: 6,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.96 : 6,433.07 = 4,374.50 : x
  2. Step 2: Convert to fraction form
    4,671.96/6,433.07 = 4,374.50/x
  3. Step 3: Cross multiply
    4,671.96x = 6,433.07 × 4,374.50
  4. Step 4: Simplify right side
    4,671.96x = 28,141,410.68
  5. Step 5: Solve for x
    x = 28,141,410.68/4,671.96
  6. Step 6: Final answer
    x = 6,023.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.