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Finding the Fourth Proportional to 3,925.40, 5,888.09 and 3,697.18

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Solution

The fourth proportional to 3,925.40, 5,888.09 and 3,697.18 is: 5,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.40 : 5,888.09 = 3,697.18 : x
  2. Step 2: Convert to fraction form
    3,925.40/5,888.09 = 3,697.18/x
  3. Step 3: Cross multiply
    3,925.40x = 5,888.09 × 3,697.18
  4. Step 4: Simplify right side
    3,925.40x = 21,769,323.11
  5. Step 5: Solve for x
    x = 21,769,323.11/3,925.40
  6. Step 6: Final answer
    x = 5,545.77

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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.