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Finding the Fourth Proportional to 3,257.34, 4,886.01 and 917.34

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Solution

The fourth proportional to 3,257.34, 4,886.01 and 917.34 is: 1,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.34 : 4,886.01 = 917.34 : x
  2. Step 2: Convert to fraction form
    3,257.34/4,886.01 = 917.34/x
  3. Step 3: Cross multiply
    3,257.34x = 4,886.01 × 917.34
  4. Step 4: Simplify right side
    3,257.34x = 4,482,127.83
  5. Step 5: Solve for x
    x = 4,482,127.83/3,257.34
  6. Step 6: Final answer
    x = 1,376.01

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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.