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Finding the Fourth Proportional to 5,655.29, 7,811.78 and 4,714.16

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Solution

The fourth proportional to 5,655.29, 7,811.78 and 4,714.16 is: 6,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.29 : 7,811.78 = 4,714.16 : x
  2. Step 2: Convert to fraction form
    5,655.29/7,811.78 = 4,714.16/x
  3. Step 3: Cross multiply
    5,655.29x = 7,811.78 × 4,714.16
  4. Step 4: Simplify right side
    5,655.29x = 36,825,918.18
  5. Step 5: Solve for x
    x = 36,825,918.18/5,655.29
  6. Step 6: Final answer
    x = 6,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.