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Finding the Fourth Proportional to 3,646.50, 5,030.37 and 2,301.51

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Solution

The fourth proportional to 3,646.50, 5,030.37 and 2,301.51 is: 3,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.50 : 5,030.37 = 2,301.51 : x
  2. Step 2: Convert to fraction form
    3,646.50/5,030.37 = 2,301.51/x
  3. Step 3: Cross multiply
    3,646.50x = 5,030.37 × 2,301.51
  4. Step 4: Simplify right side
    3,646.50x = 11,577,446.86
  5. Step 5: Solve for x
    x = 11,577,446.86/3,646.50
  6. Step 6: Final answer
    x = 3,174.95

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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.