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Finding the Fourth Proportional to 5,530.68, 7,638.98 and 4,036.23

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Solution

The fourth proportional to 5,530.68, 7,638.98 and 4,036.23 is: 5,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.68 : 7,638.98 = 4,036.23 : x
  2. Step 2: Convert to fraction form
    5,530.68/7,638.98 = 4,036.23/x
  3. Step 3: Cross multiply
    5,530.68x = 7,638.98 × 4,036.23
  4. Step 4: Simplify right side
    5,530.68x = 30,832,660.06
  5. Step 5: Solve for x
    x = 30,832,660.06/5,530.68
  6. Step 6: Final answer
    x = 5,574.84

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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.