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Finding the Fourth Proportional to 3,925.74, 5,888.48 and 1,004.07

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Solution

The fourth proportional to 3,925.74, 5,888.48 and 1,004.07 is: 1,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.74 : 5,888.48 = 1,004.07 : x
  2. Step 2: Convert to fraction form
    3,925.74/5,888.48 = 1,004.07/x
  3. Step 3: Cross multiply
    3,925.74x = 5,888.48 × 1,004.07
  4. Step 4: Simplify right side
    3,925.74x = 5,912,441.09
  5. Step 5: Solve for x
    x = 5,912,441.09/3,925.74
  6. Step 6: Final answer
    x = 1,506.07

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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.