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Finding the Fourth Proportional to 4,006.25, 6,007.85 and 1,925.66

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Solution

The fourth proportional to 4,006.25, 6,007.85 and 1,925.66 is: 2,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.25 : 6,007.85 = 1,925.66 : x
  2. Step 2: Convert to fraction form
    4,006.25/6,007.85 = 1,925.66/x
  3. Step 3: Cross multiply
    4,006.25x = 6,007.85 × 1,925.66
  4. Step 4: Simplify right side
    4,006.25x = 11,569,036.76
  5. Step 5: Solve for x
    x = 11,569,036.76/4,006.25
  6. Step 6: Final answer
    x = 2,887.75

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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.