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Finding the Fourth Proportional to 3,501.83, 5,252.61 and 869.34

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Solution

The fourth proportional to 3,501.83, 5,252.61 and 869.34 is: 1,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.83 : 5,252.61 = 869.34 : x
  2. Step 2: Convert to fraction form
    3,501.83/5,252.61 = 869.34/x
  3. Step 3: Cross multiply
    3,501.83x = 5,252.61 × 869.34
  4. Step 4: Simplify right side
    3,501.83x = 4,566,299.63
  5. Step 5: Solve for x
    x = 4,566,299.63/3,501.83
  6. Step 6: Final answer
    x = 1,303.98

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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.