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Finding the Fourth Proportional to 3,117.66, 4,675.35 and 1,037.28

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Solution

The fourth proportional to 3,117.66, 4,675.35 and 1,037.28 is: 1,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.66 : 4,675.35 = 1,037.28 : x
  2. Step 2: Convert to fraction form
    3,117.66/4,675.35 = 1,037.28/x
  3. Step 3: Cross multiply
    3,117.66x = 4,675.35 × 1,037.28
  4. Step 4: Simplify right side
    3,117.66x = 4,849,647.05
  5. Step 5: Solve for x
    x = 4,849,647.05/3,117.66
  6. Step 6: Final answer
    x = 1,555.54

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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.