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Finding the Fourth Proportional to 3,501.95, 5,252.90 and 1,421.93

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Solution

The fourth proportional to 3,501.95, 5,252.90 and 1,421.93 is: 2,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.95 : 5,252.90 = 1,421.93 : x
  2. Step 2: Convert to fraction form
    3,501.95/5,252.90 = 1,421.93/x
  3. Step 3: Cross multiply
    3,501.95x = 5,252.90 × 1,421.93
  4. Step 4: Simplify right side
    3,501.95x = 7,469,267.45
  5. Step 5: Solve for x
    x = 7,469,267.45/3,501.95
  6. Step 6: Final answer
    x = 2,132.89

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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.