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Finding the Fourth Proportional to 5,382.93, 7,429.75 and 3,590.50

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Solution

The fourth proportional to 5,382.93, 7,429.75 and 3,590.50 is: 4,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.93 : 7,429.75 = 3,590.50 : x
  2. Step 2: Convert to fraction form
    5,382.93/7,429.75 = 3,590.50/x
  3. Step 3: Cross multiply
    5,382.93x = 7,429.75 × 3,590.50
  4. Step 4: Simplify right side
    5,382.93x = 26,676,517.38
  5. Step 5: Solve for x
    x = 26,676,517.38/5,382.93
  6. Step 6: Final answer
    x = 4,955.76

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Why These Related Problems?

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