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Finding the Fourth Proportional to 5,384.47, 7,430.72 and 3,026.83

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Solution

The fourth proportional to 5,384.47, 7,430.72 and 3,026.83 is: 4,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.47 : 7,430.72 = 3,026.83 : x
  2. Step 2: Convert to fraction form
    5,384.47/7,430.72 = 3,026.83/x
  3. Step 3: Cross multiply
    5,384.47x = 7,430.72 × 3,026.83
  4. Step 4: Simplify right side
    5,384.47x = 22,491,526.22
  5. Step 5: Solve for x
    x = 22,491,526.22/5,384.47
  6. Step 6: Final answer
    x = 4,177.11

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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.