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Finding the Fourth Proportional to 5,655.67, 7,804.23 and 3,137.71

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Solution

The fourth proportional to 5,655.67, 7,804.23 and 3,137.71 is: 4,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.67 : 7,804.23 = 3,137.71 : x
  2. Step 2: Convert to fraction form
    5,655.67/7,804.23 = 3,137.71/x
  3. Step 3: Cross multiply
    5,655.67x = 7,804.23 × 3,137.71
  4. Step 4: Simplify right side
    5,655.67x = 24,487,410.51
  5. Step 5: Solve for x
    x = 24,487,410.51/5,655.67
  6. Step 6: Final answer
    x = 4,329.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.