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Finding the Fourth Proportional to 3,730.70, 5,595.87 and 1,390.70

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Solution

The fourth proportional to 3,730.70, 5,595.87 and 1,390.70 is: 2,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.70 : 5,595.87 = 1,390.70 : x
  2. Step 2: Convert to fraction form
    3,730.70/5,595.87 = 1,390.70/x
  3. Step 3: Cross multiply
    3,730.70x = 5,595.87 × 1,390.70
  4. Step 4: Simplify right side
    3,730.70x = 7,782,176.41
  5. Step 5: Solve for x
    x = 7,782,176.41/3,730.70
  6. Step 6: Final answer
    x = 2,085.98

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Why These Related Problems?

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