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Finding the Fourth Proportional to 3,123.77, 4,316.51 and 2,971.91

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Solution

The fourth proportional to 3,123.77, 4,316.51 and 2,971.91 is: 4,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.77 : 4,316.51 = 2,971.91 : x
  2. Step 2: Convert to fraction form
    3,123.77/4,316.51 = 2,971.91/x
  3. Step 3: Cross multiply
    3,123.77x = 4,316.51 × 2,971.91
  4. Step 4: Simplify right side
    3,123.77x = 12,828,279.23
  5. Step 5: Solve for x
    x = 12,828,279.23/3,123.77
  6. Step 6: Final answer
    x = 4,106.67

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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.