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Finding the Fourth Proportional to 4,492.96, 6,199.20 and 2,920.80

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Solution

The fourth proportional to 4,492.96, 6,199.20 and 2,920.80 is: 4,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.96 : 6,199.20 = 2,920.80 : x
  2. Step 2: Convert to fraction form
    4,492.96/6,199.20 = 2,920.80/x
  3. Step 3: Cross multiply
    4,492.96x = 6,199.20 × 2,920.80
  4. Step 4: Simplify right side
    4,492.96x = 18,106,623.36
  5. Step 5: Solve for x
    x = 18,106,623.36/4,492.96
  6. Step 6: Final answer
    x = 4,030.00

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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.