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Finding the Fourth Proportional to 5,800.48, 8,700.10 and 2,102.02

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Solution

The fourth proportional to 5,800.48, 8,700.10 and 2,102.02 is: 3,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.48 : 8,700.10 = 2,102.02 : x
  2. Step 2: Convert to fraction form
    5,800.48/8,700.10 = 2,102.02/x
  3. Step 3: Cross multiply
    5,800.48x = 8,700.10 × 2,102.02
  4. Step 4: Simplify right side
    5,800.48x = 18,287,784.20
  5. Step 5: Solve for x
    x = 18,287,784.20/5,800.48
  6. Step 6: Final answer
    x = 3,152.81

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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.