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Finding the Fourth Proportional to 5,653.49, 7,802.06 and 3,762.02

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Solution

The fourth proportional to 5,653.49, 7,802.06 and 3,762.02 is: 5,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.49 : 7,802.06 = 3,762.02 : x
  2. Step 2: Convert to fraction form
    5,653.49/7,802.06 = 3,762.02/x
  3. Step 3: Cross multiply
    5,653.49x = 7,802.06 × 3,762.02
  4. Step 4: Simplify right side
    5,653.49x = 29,351,506.46
  5. Step 5: Solve for x
    x = 29,351,506.46/5,653.49
  6. Step 6: Final answer
    x = 5,191.75

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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.