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Finding the Fourth Proportional to 3,730.16, 5,595.10 and 956.85

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Solution

The fourth proportional to 3,730.16, 5,595.10 and 956.85 is: 1,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.16 : 5,595.10 = 956.85 : x
  2. Step 2: Convert to fraction form
    3,730.16/5,595.10 = 956.85/x
  3. Step 3: Cross multiply
    3,730.16x = 5,595.10 × 956.85
  4. Step 4: Simplify right side
    3,730.16x = 5,353,671.44
  5. Step 5: Solve for x
    x = 5,353,671.44/3,730.16
  6. Step 6: Final answer
    x = 1,435.24

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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.