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Finding the Fourth Proportional to 5,313.70, 7,312.66 and 5,176.41

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Solution

The fourth proportional to 5,313.70, 7,312.66 and 5,176.41 is: 7,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.70 : 7,312.66 = 5,176.41 : x
  2. Step 2: Convert to fraction form
    5,313.70/7,312.66 = 5,176.41/x
  3. Step 3: Cross multiply
    5,313.70x = 7,312.66 × 5,176.41
  4. Step 4: Simplify right side
    5,313.70x = 37,853,326.35
  5. Step 5: Solve for x
    x = 37,853,326.35/5,313.70
  6. Step 6: Final answer
    x = 7,123.72

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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.