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Finding the Fourth Proportional to 4,089, 6,134.76 and 2,356.68

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Solution

The fourth proportional to 4,089, 6,134.76 and 2,356.68 is: 3,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 6,134.76 = 2,356.68 : x
  2. Step 2: Convert to fraction form
    4,089/6,134.76 = 2,356.68/x
  3. Step 3: Cross multiply
    4,089x = 6,134.76 × 2,356.68
  4. Step 4: Simplify right side
    4,089x = 14,457,666.20
  5. Step 5: Solve for x
    x = 14,457,666.20/4,089
  6. Step 6: Final answer
    x = 3,535.75

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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.