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Finding the Fourth Proportional to 5,154.83, 7,713.10 and 3,075.96

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Solution

The fourth proportional to 5,154.83, 7,713.10 and 3,075.96 is: 4,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.83 : 7,713.10 = 3,075.96 : x
  2. Step 2: Convert to fraction form
    5,154.83/7,713.10 = 3,075.96/x
  3. Step 3: Cross multiply
    5,154.83x = 7,713.10 × 3,075.96
  4. Step 4: Simplify right side
    5,154.83x = 23,725,187.08
  5. Step 5: Solve for x
    x = 23,725,187.08/5,154.83
  6. Step 6: Final answer
    x = 4,602.52

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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.