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Finding the Fourth Proportional to 3,686.94, 5,530.32 and 2,596.14

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Solution

The fourth proportional to 3,686.94, 5,530.32 and 2,596.14 is: 3,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.94 : 5,530.32 = 2,596.14 : x
  2. Step 2: Convert to fraction form
    3,686.94/5,530.32 = 2,596.14/x
  3. Step 3: Cross multiply
    3,686.94x = 5,530.32 × 2,596.14
  4. Step 4: Simplify right side
    3,686.94x = 14,357,484.96
  5. Step 5: Solve for x
    x = 14,357,484.96/3,686.94
  6. Step 6: Final answer
    x = 3,894.15

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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.