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Finding the Fourth Proportional to 5,460.08, 8,189.16 and 1,457.52

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Solution

The fourth proportional to 5,460.08, 8,189.16 and 1,457.52 is: 2,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.08 : 8,189.16 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    5,460.08/8,189.16 = 1,457.52/x
  3. Step 3: Cross multiply
    5,460.08x = 8,189.16 × 1,457.52
  4. Step 4: Simplify right side
    5,460.08x = 11,935,864.48
  5. Step 5: Solve for x
    x = 11,935,864.48/5,460.08
  6. Step 6: Final answer
    x = 2,186.02

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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.