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Finding the Fourth Proportional to 5,404.02, 7,457.58 and 3,415.47

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Solution

The fourth proportional to 5,404.02, 7,457.58 and 3,415.47 is: 4,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.02 : 7,457.58 = 3,415.47 : x
  2. Step 2: Convert to fraction form
    5,404.02/7,457.58 = 3,415.47/x
  3. Step 3: Cross multiply
    5,404.02x = 7,457.58 × 3,415.47
  4. Step 4: Simplify right side
    5,404.02x = 25,471,140.76
  5. Step 5: Solve for x
    x = 25,471,140.76/5,404.02
  6. Step 6: Final answer
    x = 4,713.37

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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.