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Finding the Fourth Proportional to 4,106.58, 6,159.87 and 3,290.00

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Solution

The fourth proportional to 4,106.58, 6,159.87 and 3,290.00 is: 4,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.58 : 6,159.87 = 3,290.00 : x
  2. Step 2: Convert to fraction form
    4,106.58/6,159.87 = 3,290.00/x
  3. Step 3: Cross multiply
    4,106.58x = 6,159.87 × 3,290.00
  4. Step 4: Simplify right side
    4,106.58x = 20,265,941.50
  5. Step 5: Solve for x
    x = 20,265,941.50/4,106.58
  6. Step 6: Final answer
    x = 4,934.99

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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.