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Finding the Fourth Proportional to 3,815.08, 5,253.10 and 3,340.32

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Solution

The fourth proportional to 3,815.08, 5,253.10 and 3,340.32 is: 4,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.08 : 5,253.10 = 3,340.32 : x
  2. Step 2: Convert to fraction form
    3,815.08/5,253.10 = 3,340.32/x
  3. Step 3: Cross multiply
    3,815.08x = 5,253.10 × 3,340.32
  4. Step 4: Simplify right side
    3,815.08x = 17,547,034.99
  5. Step 5: Solve for x
    x = 17,547,034.99/3,815.08
  6. Step 6: Final answer
    x = 4,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.