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Finding the Fourth Proportional to 2,904.32, 4,356.36 and 713

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Solution

The fourth proportional to 2,904.32, 4,356.36 and 713 is: 1,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.32 : 4,356.36 = 713 : x
  2. Step 2: Convert to fraction form
    2,904.32/4,356.36 = 713/x
  3. Step 3: Cross multiply
    2,904.32x = 4,356.36 × 713
  4. Step 4: Simplify right side
    2,904.32x = 3,106,084.68
  5. Step 5: Solve for x
    x = 3,106,084.68/2,904.32
  6. Step 6: Final answer
    x = 1,069.47

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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.