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Finding the Fourth Proportional to 4,637.20, 6,955.80 and 4,118.80

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Solution

The fourth proportional to 4,637.20, 6,955.80 and 4,118.80 is: 6,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.20 : 6,955.80 = 4,118.80 : x
  2. Step 2: Convert to fraction form
    4,637.20/6,955.80 = 4,118.80/x
  3. Step 3: Cross multiply
    4,637.20x = 6,955.80 × 4,118.80
  4. Step 4: Simplify right side
    4,637.20x = 28,649,549.04
  5. Step 5: Solve for x
    x = 28,649,549.04/4,637.20
  6. Step 6: Final answer
    x = 6,178.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.