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Finding the Fourth Proportional to 4,598.36, 6,901.06 and 3,264.06

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Solution

The fourth proportional to 4,598.36, 6,901.06 and 3,264.06 is: 4,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.36 : 6,901.06 = 3,264.06 : x
  2. Step 2: Convert to fraction form
    4,598.36/6,901.06 = 3,264.06/x
  3. Step 3: Cross multiply
    4,598.36x = 6,901.06 × 3,264.06
  4. Step 4: Simplify right side
    4,598.36x = 22,525,473.90
  5. Step 5: Solve for x
    x = 22,525,473.90/4,598.36
  6. Step 6: Final answer
    x = 4,898.59

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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.