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Finding the Fourth Proportional to 2,595.06, 3,872.04 and 2,437.50

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Solution

The fourth proportional to 2,595.06, 3,872.04 and 2,437.50 is: 3,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.06 : 3,872.04 = 2,437.50 : x
  2. Step 2: Convert to fraction form
    2,595.06/3,872.04 = 2,437.50/x
  3. Step 3: Cross multiply
    2,595.06x = 3,872.04 × 2,437.50
  4. Step 4: Simplify right side
    2,595.06x = 9,438,097.50
  5. Step 5: Solve for x
    x = 9,438,097.50/2,595.06
  6. Step 6: Final answer
    x = 3,636.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.