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Finding the Fourth Proportional to 5,315.88, 7,331.78 and 4,719

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Solution

The fourth proportional to 5,315.88, 7,331.78 and 4,719 is: 6,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.88 : 7,331.78 = 4,719 : x
  2. Step 2: Convert to fraction form
    5,315.88/7,331.78 = 4,719/x
  3. Step 3: Cross multiply
    5,315.88x = 7,331.78 × 4,719
  4. Step 4: Simplify right side
    5,315.88x = 34,598,669.82
  5. Step 5: Solve for x
    x = 34,598,669.82/5,315.88
  6. Step 6: Final answer
    x = 6,508.55

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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.