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Finding the Fourth Proportional to 5,688, 8,533.08 and 2,610

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Solution

The fourth proportional to 5,688, 8,533.08 and 2,610 is: 3,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 8,533.08 = 2,610 : x
  2. Step 2: Convert to fraction form
    5,688/8,533.08 = 2,610/x
  3. Step 3: Cross multiply
    5,688x = 8,533.08 × 2,610
  4. Step 4: Simplify right side
    5,688x = 22,271,338.80
  5. Step 5: Solve for x
    x = 22,271,338.80/5,688
  6. Step 6: Final answer
    x = 3,915.50

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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.