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Finding the Fourth Proportional to 5,404.93, 7,460.96 and 4,645.71

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Solution

The fourth proportional to 5,404.93, 7,460.96 and 4,645.71 is: 6,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.93 : 7,460.96 = 4,645.71 : x
  2. Step 2: Convert to fraction form
    5,404.93/7,460.96 = 4,645.71/x
  3. Step 3: Cross multiply
    5,404.93x = 7,460.96 × 4,645.71
  4. Step 4: Simplify right side
    5,404.93x = 34,661,433.25
  5. Step 5: Solve for x
    x = 34,661,433.25/5,404.93
  6. Step 6: Final answer
    x = 6,412.93

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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.