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Finding the Fourth Proportional to 4,305.90, 6,427.46 and 3,787.50

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Solution

The fourth proportional to 4,305.90, 6,427.46 and 3,787.50 is: 5,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.90 : 6,427.46 = 3,787.50 : x
  2. Step 2: Convert to fraction form
    4,305.90/6,427.46 = 3,787.50/x
  3. Step 3: Cross multiply
    4,305.90x = 6,427.46 × 3,787.50
  4. Step 4: Simplify right side
    4,305.90x = 24,343,985.81
  5. Step 5: Solve for x
    x = 24,343,985.81/4,305.90
  6. Step 6: Final answer
    x = 5,653.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.