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Finding the Fourth Proportional to 4,206.69, 6,303.05 and 2,558.25

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Solution

The fourth proportional to 4,206.69, 6,303.05 and 2,558.25 is: 3,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.69 : 6,303.05 = 2,558.25 : x
  2. Step 2: Convert to fraction form
    4,206.69/6,303.05 = 2,558.25/x
  3. Step 3: Cross multiply
    4,206.69x = 6,303.05 × 2,558.25
  4. Step 4: Simplify right side
    4,206.69x = 16,124,746.15
  5. Step 5: Solve for x
    x = 16,124,746.15/4,206.69
  6. Step 6: Final answer
    x = 3,833.12

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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.