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Finding the Fourth Proportional to 5,353.20, 8,030.20 and 1,457.52

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Solution

The fourth proportional to 5,353.20, 8,030.20 and 1,457.52 is: 2,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.20 : 8,030.20 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    5,353.20/8,030.20 = 1,457.52/x
  3. Step 3: Cross multiply
    5,353.20x = 8,030.20 × 1,457.52
  4. Step 4: Simplify right side
    5,353.20x = 11,704,177.10
  5. Step 5: Solve for x
    x = 11,704,177.10/5,353.20
  6. Step 6: Final answer
    x = 2,186.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.