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Finding the Fourth Proportional to 4,277.58, 6,411.51 and 4,180.38

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Solution

The fourth proportional to 4,277.58, 6,411.51 and 4,180.38 is: 6,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.58 : 6,411.51 = 4,180.38 : x
  2. Step 2: Convert to fraction form
    4,277.58/6,411.51 = 4,180.38/x
  3. Step 3: Cross multiply
    4,277.58x = 6,411.51 × 4,180.38
  4. Step 4: Simplify right side
    4,277.58x = 26,802,548.17
  5. Step 5: Solve for x
    x = 26,802,548.17/4,277.58
  6. Step 6: Final answer
    x = 6,265.82

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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.