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Finding the Fourth Proportional to 4,664.04, 6,437.64 and 2,675.64

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Solution

The fourth proportional to 4,664.04, 6,437.64 and 2,675.64 is: 3,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.04 : 6,437.64 = 2,675.64 : x
  2. Step 2: Convert to fraction form
    4,664.04/6,437.64 = 2,675.64/x
  3. Step 3: Cross multiply
    4,664.04x = 6,437.64 × 2,675.64
  4. Step 4: Simplify right side
    4,664.04x = 17,224,807.09
  5. Step 5: Solve for x
    x = 17,224,807.09/4,664.04
  6. Step 6: Final answer
    x = 3,693.11

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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.