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Finding the Fourth Proportional to 5,642.33, 7,788.11 and 3,653.01

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Solution

The fourth proportional to 5,642.33, 7,788.11 and 3,653.01 is: 5,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.33 : 7,788.11 = 3,653.01 : x
  2. Step 2: Convert to fraction form
    5,642.33/7,788.11 = 3,653.01/x
  3. Step 3: Cross multiply
    5,642.33x = 7,788.11 × 3,653.01
  4. Step 4: Simplify right side
    5,642.33x = 28,450,025.45
  5. Step 5: Solve for x
    x = 28,450,025.45/5,642.33
  6. Step 6: Final answer
    x = 5,042.25

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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.