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Finding the Fourth Proportional to 4,925.82, 7,389.71 and 1,594.97

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Solution

The fourth proportional to 4,925.82, 7,389.71 and 1,594.97 is: 2,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.82 : 7,389.71 = 1,594.97 : x
  2. Step 2: Convert to fraction form
    4,925.82/7,389.71 = 1,594.97/x
  3. Step 3: Cross multiply
    4,925.82x = 7,389.71 × 1,594.97
  4. Step 4: Simplify right side
    4,925.82x = 11,786,365.76
  5. Step 5: Solve for x
    x = 11,786,365.76/4,925.82
  6. Step 6: Final answer
    x = 2,392.77

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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.