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Finding the Fourth Proportional to 3,952.86, 5,929.50 and 1,320.18

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Solution

The fourth proportional to 3,952.86, 5,929.50 and 1,320.18 is: 1,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.86 : 5,929.50 = 1,320.18 : x
  2. Step 2: Convert to fraction form
    3,952.86/5,929.50 = 1,320.18/x
  3. Step 3: Cross multiply
    3,952.86x = 5,929.50 × 1,320.18
  4. Step 4: Simplify right side
    3,952.86x = 7,828,007.31
  5. Step 5: Solve for x
    x = 7,828,007.31/3,952.86
  6. Step 6: Final answer
    x = 1,980.34

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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.