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Finding the Fourth Proportional to 4,461, 6,156.18 and 2,598

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Solution

The fourth proportional to 4,461, 6,156.18 and 2,598 is: 3,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461 : 6,156.18 = 2,598 : x
  2. Step 2: Convert to fraction form
    4,461/6,156.18 = 2,598/x
  3. Step 3: Cross multiply
    4,461x = 6,156.18 × 2,598
  4. Step 4: Simplify right side
    4,461x = 15,993,755.64
  5. Step 5: Solve for x
    x = 15,993,755.64/4,461
  6. Step 6: Final answer
    x = 3,585.24

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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.