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Finding the Fourth Proportional to 5,641.42, 7,787.34 and 5,050.93

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Solution

The fourth proportional to 5,641.42, 7,787.34 and 5,050.93 is: 6,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.42 : 7,787.34 = 5,050.93 : x
  2. Step 2: Convert to fraction form
    5,641.42/7,787.34 = 5,050.93/x
  3. Step 3: Cross multiply
    5,641.42x = 7,787.34 × 5,050.93
  4. Step 4: Simplify right side
    5,641.42x = 39,333,309.23
  5. Step 5: Solve for x
    x = 39,333,309.23/5,641.42
  6. Step 6: Final answer
    x = 6,972.24

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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.