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Finding the Fourth Proportional to 5,134.86, 7,703.60 and 1,437.10

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Solution

The fourth proportional to 5,134.86, 7,703.60 and 1,437.10 is: 2,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.86 : 7,703.60 = 1,437.10 : x
  2. Step 2: Convert to fraction form
    5,134.86/7,703.60 = 1,437.10/x
  3. Step 3: Cross multiply
    5,134.86x = 7,703.60 × 1,437.10
  4. Step 4: Simplify right side
    5,134.86x = 11,070,817.12
  5. Step 5: Solve for x
    x = 11,070,817.12/5,134.86
  6. Step 6: Final answer
    x = 2,156.01

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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.