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Finding the Fourth Proportional to 3,775.69, 5,210.13 and 2,203.93

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Solution

The fourth proportional to 3,775.69, 5,210.13 and 2,203.93 is: 3,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.69 : 5,210.13 = 2,203.93 : x
  2. Step 2: Convert to fraction form
    3,775.69/5,210.13 = 2,203.93/x
  3. Step 3: Cross multiply
    3,775.69x = 5,210.13 × 2,203.93
  4. Step 4: Simplify right side
    3,775.69x = 11,482,761.81
  5. Step 5: Solve for x
    x = 11,482,761.81/3,775.69
  6. Step 6: Final answer
    x = 3,041.24

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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.