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Finding the Fourth Proportional to 5,290.25, 7,301.61 and 3,053.70

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Solution

The fourth proportional to 5,290.25, 7,301.61 and 3,053.70 is: 4,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.25 : 7,301.61 = 3,053.70 : x
  2. Step 2: Convert to fraction form
    5,290.25/7,301.61 = 3,053.70/x
  3. Step 3: Cross multiply
    5,290.25x = 7,301.61 × 3,053.70
  4. Step 4: Simplify right side
    5,290.25x = 22,296,926.46
  5. Step 5: Solve for x
    x = 22,296,926.46/5,290.25
  6. Step 6: Final answer
    x = 4,214.72

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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.