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Finding the Fourth Proportional to 5,056.84, 7,585.98 and 2,458

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Solution

The fourth proportional to 5,056.84, 7,585.98 and 2,458 is: 3,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.84 : 7,585.98 = 2,458 : x
  2. Step 2: Convert to fraction form
    5,056.84/7,585.98 = 2,458/x
  3. Step 3: Cross multiply
    5,056.84x = 7,585.98 × 2,458
  4. Step 4: Simplify right side
    5,056.84x = 18,646,338.84
  5. Step 5: Solve for x
    x = 18,646,338.84/5,056.84
  6. Step 6: Final answer
    x = 3,687.35

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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.