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Finding the Fourth Proportional to 5,653.65, 7,804.71 and 3,768.37

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Solution

The fourth proportional to 5,653.65, 7,804.71 and 3,768.37 is: 5,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.65 : 7,804.71 = 3,768.37 : x
  2. Step 2: Convert to fraction form
    5,653.65/7,804.71 = 3,768.37/x
  3. Step 3: Cross multiply
    5,653.65x = 7,804.71 × 3,768.37
  4. Step 4: Simplify right side
    5,653.65x = 29,411,070.01
  5. Step 5: Solve for x
    x = 29,411,070.01/5,653.65
  6. Step 6: Final answer
    x = 5,202.14

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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.