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Finding the Fourth Proportional to 3,952.32, 5,929.36 and 1,320.64

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Solution

The fourth proportional to 3,952.32, 5,929.36 and 1,320.64 is: 1,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.32 : 5,929.36 = 1,320.64 : x
  2. Step 2: Convert to fraction form
    3,952.32/5,929.36 = 1,320.64/x
  3. Step 3: Cross multiply
    3,952.32x = 5,929.36 × 1,320.64
  4. Step 4: Simplify right side
    3,952.32x = 7,830,549.99
  5. Step 5: Solve for x
    x = 7,830,549.99/3,952.32
  6. Step 6: Final answer
    x = 1,981.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.