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Finding the Fourth Proportional to 3,075.59, 4,613.39 and 1,432.62

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Solution

The fourth proportional to 3,075.59, 4,613.39 and 1,432.62 is: 2,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.59 : 4,613.39 = 1,432.62 : x
  2. Step 2: Convert to fraction form
    3,075.59/4,613.39 = 1,432.62/x
  3. Step 3: Cross multiply
    3,075.59x = 4,613.39 × 1,432.62
  4. Step 4: Simplify right side
    3,075.59x = 6,609,234.78
  5. Step 5: Solve for x
    x = 6,609,234.78/3,075.59
  6. Step 6: Final answer
    x = 2,148.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.