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Finding the Fourth Proportional to 5,309.64, 7,322.37 and 3,417.89

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Solution

The fourth proportional to 5,309.64, 7,322.37 and 3,417.89 is: 4,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.64 : 7,322.37 = 3,417.89 : x
  2. Step 2: Convert to fraction form
    5,309.64/7,322.37 = 3,417.89/x
  3. Step 3: Cross multiply
    5,309.64x = 7,322.37 × 3,417.89
  4. Step 4: Simplify right side
    5,309.64x = 25,027,018.59
  5. Step 5: Solve for x
    x = 25,027,018.59/5,309.64
  6. Step 6: Final answer
    x = 4,713.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.