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Finding the Fourth Proportional to 5,364.18, 7,402.02 and 3,005.82

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Solution

The fourth proportional to 5,364.18, 7,402.02 and 3,005.82 is: 4,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.18 : 7,402.02 = 3,005.82 : x
  2. Step 2: Convert to fraction form
    5,364.18/7,402.02 = 3,005.82/x
  3. Step 3: Cross multiply
    5,364.18x = 7,402.02 × 3,005.82
  4. Step 4: Simplify right side
    5,364.18x = 22,249,139.76
  5. Step 5: Solve for x
    x = 22,249,139.76/5,364.18
  6. Step 6: Final answer
    x = 4,147.72

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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.