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Finding the Fourth Proportional to 5,354.39, 8,030.57 and 1,457.88

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Solution

The fourth proportional to 5,354.39, 8,030.57 and 1,457.88 is: 2,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.39 : 8,030.57 = 1,457.88 : x
  2. Step 2: Convert to fraction form
    5,354.39/8,030.57 = 1,457.88/x
  3. Step 3: Cross multiply
    5,354.39x = 8,030.57 × 1,457.88
  4. Step 4: Simplify right side
    5,354.39x = 11,707,600.10
  5. Step 5: Solve for x
    x = 11,707,600.10/5,354.39
  6. Step 6: Final answer
    x = 2,186.54

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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.