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Finding the Fourth Proportional to 3,730.64, 5,594 and 1,390.80

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Solution

The fourth proportional to 3,730.64, 5,594 and 1,390.80 is: 2,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.64 : 5,594 = 1,390.80 : x
  2. Step 2: Convert to fraction form
    3,730.64/5,594 = 1,390.80/x
  3. Step 3: Cross multiply
    3,730.64x = 5,594 × 1,390.80
  4. Step 4: Simplify right side
    3,730.64x = 7,780,135.20
  5. Step 5: Solve for x
    x = 7,780,135.20/3,730.64
  6. Step 6: Final answer
    x = 2,085.47

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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.