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Finding the Fourth Proportional to 5,404.16, 7,457.60 and 3,014.21

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Solution

The fourth proportional to 5,404.16, 7,457.60 and 3,014.21 is: 4,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.16 : 7,457.60 = 3,014.21 : x
  2. Step 2: Convert to fraction form
    5,404.16/7,457.60 = 3,014.21/x
  3. Step 3: Cross multiply
    5,404.16x = 7,457.60 × 3,014.21
  4. Step 4: Simplify right side
    5,404.16x = 22,478,720.14
  5. Step 5: Solve for x
    x = 22,478,720.14/5,404.16
  6. Step 6: Final answer
    x = 4,159.52

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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.