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Finding the Fourth Proportional to 5,549.04, 7,643.16 and 4,209.84

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Solution

The fourth proportional to 5,549.04, 7,643.16 and 4,209.84 is: 5,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.04 : 7,643.16 = 4,209.84 : x
  2. Step 2: Convert to fraction form
    5,549.04/7,643.16 = 4,209.84/x
  3. Step 3: Cross multiply
    5,549.04x = 7,643.16 × 4,209.84
  4. Step 4: Simplify right side
    5,549.04x = 32,176,480.69
  5. Step 5: Solve for x
    x = 32,176,480.69/5,549.04
  6. Step 6: Final answer
    x = 5,798.57

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