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Finding the Fourth Proportional to 5,848.16, 8,773.10 and 2,150.10

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Solution

The fourth proportional to 5,848.16, 8,773.10 and 2,150.10 is: 3,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.16 : 8,773.10 = 2,150.10 : x
  2. Step 2: Convert to fraction form
    5,848.16/8,773.10 = 2,150.10/x
  3. Step 3: Cross multiply
    5,848.16x = 8,773.10 × 2,150.10
  4. Step 4: Simplify right side
    5,848.16x = 18,863,051.72
  5. Step 5: Solve for x
    x = 18,863,051.72/5,848.16
  6. Step 6: Final answer
    x = 3,225.47

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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.