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Finding the Fourth Proportional to 3,435.49, 5,152.19 and 1,461.10

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Solution

The fourth proportional to 3,435.49, 5,152.19 and 1,461.10 is: 2,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.49 : 5,152.19 = 1,461.10 : x
  2. Step 2: Convert to fraction form
    3,435.49/5,152.19 = 1,461.10/x
  3. Step 3: Cross multiply
    3,435.49x = 5,152.19 × 1,461.10
  4. Step 4: Simplify right side
    3,435.49x = 7,527,848.01
  5. Step 5: Solve for x
    x = 7,527,848.01/3,435.49
  6. Step 6: Final answer
    x = 2,191.20

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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.