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Finding the Fourth Proportional to 4,632.84, 6,409.93 and 4,045.08

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Solution

The fourth proportional to 4,632.84, 6,409.93 and 4,045.08 is: 5,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.84 : 6,409.93 = 4,045.08 : x
  2. Step 2: Convert to fraction form
    4,632.84/6,409.93 = 4,045.08/x
  3. Step 3: Cross multiply
    4,632.84x = 6,409.93 × 4,045.08
  4. Step 4: Simplify right side
    4,632.84x = 25,928,679.64
  5. Step 5: Solve for x
    x = 25,928,679.64/4,632.84
  6. Step 6: Final answer
    x = 5,596.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.