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Finding the Fourth Proportional to 5,262.76, 7,877.94 and 4,435.48

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Solution

The fourth proportional to 5,262.76, 7,877.94 and 4,435.48 is: 6,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.76 : 7,877.94 = 4,435.48 : x
  2. Step 2: Convert to fraction form
    5,262.76/7,877.94 = 4,435.48/x
  3. Step 3: Cross multiply
    5,262.76x = 7,877.94 × 4,435.48
  4. Step 4: Simplify right side
    5,262.76x = 34,942,445.31
  5. Step 5: Solve for x
    x = 34,942,445.31/5,262.76
  6. Step 6: Final answer
    x = 6,639.57

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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.