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Finding the Fourth Proportional to 2,607.84, 3,618.36 and 2,585.52

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Solution

The fourth proportional to 2,607.84, 3,618.36 and 2,585.52 is: 3,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.84 : 3,618.36 = 2,585.52 : x
  2. Step 2: Convert to fraction form
    2,607.84/3,618.36 = 2,585.52/x
  3. Step 3: Cross multiply
    2,607.84x = 3,618.36 × 2,585.52
  4. Step 4: Simplify right side
    2,607.84x = 9,355,342.15
  5. Step 5: Solve for x
    x = 9,355,342.15/2,607.84
  6. Step 6: Final answer
    x = 3,587.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.