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Finding the Fourth Proportional to 3,925.79, 5,888.68 and 2,465.97

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Solution

The fourth proportional to 3,925.79, 5,888.68 and 2,465.97 is: 3,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.79 : 5,888.68 = 2,465.97 : x
  2. Step 2: Convert to fraction form
    3,925.79/5,888.68 = 2,465.97/x
  3. Step 3: Cross multiply
    3,925.79x = 5,888.68 × 2,465.97
  4. Step 4: Simplify right side
    3,925.79x = 14,521,308.22
  5. Step 5: Solve for x
    x = 14,521,308.22/3,925.79
  6. Step 6: Final answer
    x = 3,698.95

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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.