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Finding the Fourth Proportional to 3,547.34, 5,321.07 and 950.25

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Solution

The fourth proportional to 3,547.34, 5,321.07 and 950.25 is: 1,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.34 : 5,321.07 = 950.25 : x
  2. Step 2: Convert to fraction form
    3,547.34/5,321.07 = 950.25/x
  3. Step 3: Cross multiply
    3,547.34x = 5,321.07 × 950.25
  4. Step 4: Simplify right side
    3,547.34x = 5,056,346.77
  5. Step 5: Solve for x
    x = 5,056,346.77/3,547.34
  6. Step 6: Final answer
    x = 1,425.39

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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.