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Finding the Fourth Proportional to 4,925.59, 7,382.22 and 2,461.10

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Solution

The fourth proportional to 4,925.59, 7,382.22 and 2,461.10 is: 3,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.59 : 7,382.22 = 2,461.10 : x
  2. Step 2: Convert to fraction form
    4,925.59/7,382.22 = 2,461.10/x
  3. Step 3: Cross multiply
    4,925.59x = 7,382.22 × 2,461.10
  4. Step 4: Simplify right side
    4,925.59x = 18,168,335.50
  5. Step 5: Solve for x
    x = 18,168,335.50/4,925.59
  6. Step 6: Final answer
    x = 3,688.56

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Why These Related Problems?

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