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Finding the Fourth Proportional to 3,475.69, 5,214.21 and 1,501.32

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Solution

The fourth proportional to 3,475.69, 5,214.21 and 1,501.32 is: 2,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.69 : 5,214.21 = 1,501.32 : x
  2. Step 2: Convert to fraction form
    3,475.69/5,214.21 = 1,501.32/x
  3. Step 3: Cross multiply
    3,475.69x = 5,214.21 × 1,501.32
  4. Step 4: Simplify right side
    3,475.69x = 7,828,197.76
  5. Step 5: Solve for x
    x = 7,828,197.76/3,475.69
  6. Step 6: Final answer
    x = 2,252.27

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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.