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Finding the Fourth Proportional to 5,607.66, 8,412.72 and 1,712.37

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Solution

The fourth proportional to 5,607.66, 8,412.72 and 1,712.37 is: 2,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.66 : 8,412.72 = 1,712.37 : x
  2. Step 2: Convert to fraction form
    5,607.66/8,412.72 = 1,712.37/x
  3. Step 3: Cross multiply
    5,607.66x = 8,412.72 × 1,712.37
  4. Step 4: Simplify right side
    5,607.66x = 14,405,689.35
  5. Step 5: Solve for x
    x = 14,405,689.35/5,607.66
  6. Step 6: Final answer
    x = 2,568.93

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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.