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Finding the Fourth Proportional to 4,604.16, 6,905.16 and 1,642.35

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Solution

The fourth proportional to 4,604.16, 6,905.16 and 1,642.35 is: 2,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.16 : 6,905.16 = 1,642.35 : x
  2. Step 2: Convert to fraction form
    4,604.16/6,905.16 = 1,642.35/x
  3. Step 3: Cross multiply
    4,604.16x = 6,905.16 × 1,642.35
  4. Step 4: Simplify right side
    4,604.16x = 11,340,689.53
  5. Step 5: Solve for x
    x = 11,340,689.53/4,604.16
  6. Step 6: Final answer
    x = 2,463.14

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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.