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Finding the Fourth Proportional to 3,117.64, 4,675.90 and 1,037.68

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Solution

The fourth proportional to 3,117.64, 4,675.90 and 1,037.68 is: 1,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.64 : 4,675.90 = 1,037.68 : x
  2. Step 2: Convert to fraction form
    3,117.64/4,675.90 = 1,037.68/x
  3. Step 3: Cross multiply
    3,117.64x = 4,675.90 × 1,037.68
  4. Step 4: Simplify right side
    3,117.64x = 4,852,087.91
  5. Step 5: Solve for x
    x = 4,852,087.91/3,117.64
  6. Step 6: Final answer
    x = 1,556.33

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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.