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Finding the Fourth Proportional to 4,636.52, 6,394.68 and 4,075.79

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Solution

The fourth proportional to 4,636.52, 6,394.68 and 4,075.79 is: 5,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.52 : 6,394.68 = 4,075.79 : x
  2. Step 2: Convert to fraction form
    4,636.52/6,394.68 = 4,075.79/x
  3. Step 3: Cross multiply
    4,636.52x = 6,394.68 × 4,075.79
  4. Step 4: Simplify right side
    4,636.52x = 26,063,373.50
  5. Step 5: Solve for x
    x = 26,063,373.50/4,636.52
  6. Step 6: Final answer
    x = 5,621.33

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