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Finding the Fourth Proportional to 5,798.26, 8,702 and 2,101.55

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Solution

The fourth proportional to 5,798.26, 8,702 and 2,101.55 is: 3,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.26 : 8,702 = 2,101.55 : x
  2. Step 2: Convert to fraction form
    5,798.26/8,702 = 2,101.55/x
  3. Step 3: Cross multiply
    5,798.26x = 8,702 × 2,101.55
  4. Step 4: Simplify right side
    5,798.26x = 18,287,688.10
  5. Step 5: Solve for x
    x = 18,287,688.10/5,798.26
  6. Step 6: Final answer
    x = 3,154.00

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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.