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Finding the Fourth Proportional to 5,354.16, 8,029.80 and 1,457.64

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Solution

The fourth proportional to 5,354.16, 8,029.80 and 1,457.64 is: 2,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.16 : 8,029.80 = 1,457.64 : x
  2. Step 2: Convert to fraction form
    5,354.16/8,029.80 = 1,457.64/x
  3. Step 3: Cross multiply
    5,354.16x = 8,029.80 × 1,457.64
  4. Step 4: Simplify right side
    5,354.16x = 11,704,557.67
  5. Step 5: Solve for x
    x = 11,704,557.67/5,354.16
  6. Step 6: Final answer
    x = 2,186.07

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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.