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Finding the Fourth Proportional to 4,323.21, 6,484.55 and 2,130

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Solution

The fourth proportional to 4,323.21, 6,484.55 and 2,130 is: 3,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.21 : 6,484.55 = 2,130 : x
  2. Step 2: Convert to fraction form
    4,323.21/6,484.55 = 2,130/x
  3. Step 3: Cross multiply
    4,323.21x = 6,484.55 × 2,130
  4. Step 4: Simplify right side
    4,323.21x = 13,812,080.85
  5. Step 5: Solve for x
    x = 13,812,080.85/4,323.21
  6. Step 6: Final answer
    x = 3,194.87

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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.