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Finding the Fourth Proportional to 4,327.32, 6,490.02 and 2,106.10

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Solution

The fourth proportional to 4,327.32, 6,490.02 and 2,106.10 is: 3,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.32 : 6,490.02 = 2,106.10 : x
  2. Step 2: Convert to fraction form
    4,327.32/6,490.02 = 2,106.10/x
  3. Step 3: Cross multiply
    4,327.32x = 6,490.02 × 2,106.10
  4. Step 4: Simplify right side
    4,327.32x = 13,668,647.13
  5. Step 5: Solve for x
    x = 13,668,647.13/4,327.32
  6. Step 6: Final answer
    x = 3,158.68

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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.