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Finding the Fourth Proportional to 3,117.84, 4,677.38 and 1,037.64

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Solution

The fourth proportional to 3,117.84, 4,677.38 and 1,037.64 is: 1,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.84 : 4,677.38 = 1,037.64 : x
  2. Step 2: Convert to fraction form
    3,117.84/4,677.38 = 1,037.64/x
  3. Step 3: Cross multiply
    3,117.84x = 4,677.38 × 1,037.64
  4. Step 4: Simplify right side
    3,117.84x = 4,853,436.58
  5. Step 5: Solve for x
    x = 4,853,436.58/3,117.84
  6. Step 6: Final answer
    x = 1,556.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.