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Finding the Fourth Proportional to 5,740.16, 7,921.68 and 4,496

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Solution

The fourth proportional to 5,740.16, 7,921.68 and 4,496 is: 6,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.16 : 7,921.68 = 4,496 : x
  2. Step 2: Convert to fraction form
    5,740.16/7,921.68 = 4,496/x
  3. Step 3: Cross multiply
    5,740.16x = 7,921.68 × 4,496
  4. Step 4: Simplify right side
    5,740.16x = 35,615,873.28
  5. Step 5: Solve for x
    x = 35,615,873.28/5,740.16
  6. Step 6: Final answer
    x = 6,204.68

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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.