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Finding the Fourth Proportional to 3,925.54, 5,888.31 and 2,465.72

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Solution

The fourth proportional to 3,925.54, 5,888.31 and 2,465.72 is: 3,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.54 : 5,888.31 = 2,465.72 : x
  2. Step 2: Convert to fraction form
    3,925.54/5,888.31 = 2,465.72/x
  3. Step 3: Cross multiply
    3,925.54x = 5,888.31 × 2,465.72
  4. Step 4: Simplify right side
    3,925.54x = 14,518,894.29
  5. Step 5: Solve for x
    x = 14,518,894.29/3,925.54
  6. Step 6: Final answer
    x = 3,698.57

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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.