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Finding the Fourth Proportional to 5,561.59, 7,676.93 and 3,438.74

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Solution

The fourth proportional to 5,561.59, 7,676.93 and 3,438.74 is: 4,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.59 : 7,676.93 = 3,438.74 : x
  2. Step 2: Convert to fraction form
    5,561.59/7,676.93 = 3,438.74/x
  3. Step 3: Cross multiply
    5,561.59x = 7,676.93 × 3,438.74
  4. Step 4: Simplify right side
    5,561.59x = 26,398,994.06
  5. Step 5: Solve for x
    x = 26,398,994.06/5,561.59
  6. Step 6: Final answer
    x = 4,746.67

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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.