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Finding the Fourth Proportional to 3,492.06, 4,815.10 and 2,546.19

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Solution

The fourth proportional to 3,492.06, 4,815.10 and 2,546.19 is: 3,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.06 : 4,815.10 = 2,546.19 : x
  2. Step 2: Convert to fraction form
    3,492.06/4,815.10 = 2,546.19/x
  3. Step 3: Cross multiply
    3,492.06x = 4,815.10 × 2,546.19
  4. Step 4: Simplify right side
    3,492.06x = 12,260,159.47
  5. Step 5: Solve for x
    x = 12,260,159.47/3,492.06
  6. Step 6: Final answer
    x = 3,510.87

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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.