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Finding the Fourth Proportional to 3,514.87, 5,271.58 and 1,323.55

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Solution

The fourth proportional to 3,514.87, 5,271.58 and 1,323.55 is: 1,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.87 : 5,271.58 = 1,323.55 : x
  2. Step 2: Convert to fraction form
    3,514.87/5,271.58 = 1,323.55/x
  3. Step 3: Cross multiply
    3,514.87x = 5,271.58 × 1,323.55
  4. Step 4: Simplify right side
    3,514.87x = 6,977,199.71
  5. Step 5: Solve for x
    x = 6,977,199.71/3,514.87
  6. Step 6: Final answer
    x = 1,985.05

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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.