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Finding the Fourth Proportional to 5,719, 7,875.76 and 4,715.04

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Solution

The fourth proportional to 5,719, 7,875.76 and 4,715.04 is: 6,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719 : 7,875.76 = 4,715.04 : x
  2. Step 2: Convert to fraction form
    5,719/7,875.76 = 4,715.04/x
  3. Step 3: Cross multiply
    5,719x = 7,875.76 × 4,715.04
  4. Step 4: Simplify right side
    5,719x = 37,134,523.43
  5. Step 5: Solve for x
    x = 37,134,523.43/5,719
  6. Step 6: Final answer
    x = 6,493.18

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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.