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Finding the Fourth Proportional to 3,264.71, 4,501.58 and 2,477.39

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Solution

The fourth proportional to 3,264.71, 4,501.58 and 2,477.39 is: 3,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.71 : 4,501.58 = 2,477.39 : x
  2. Step 2: Convert to fraction form
    3,264.71/4,501.58 = 2,477.39/x
  3. Step 3: Cross multiply
    3,264.71x = 4,501.58 × 2,477.39
  4. Step 4: Simplify right side
    3,264.71x = 11,152,134.38
  5. Step 5: Solve for x
    x = 11,152,134.38/3,264.71
  6. Step 6: Final answer
    x = 3,415.97

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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.