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Finding the Fourth Proportional to 3,246.76, 4,870.05 and 1,054.90

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Solution

The fourth proportional to 3,246.76, 4,870.05 and 1,054.90 is: 1,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.76 : 4,870.05 = 1,054.90 : x
  2. Step 2: Convert to fraction form
    3,246.76/4,870.05 = 1,054.90/x
  3. Step 3: Cross multiply
    3,246.76x = 4,870.05 × 1,054.90
  4. Step 4: Simplify right side
    3,246.76x = 5,137,415.75
  5. Step 5: Solve for x
    x = 5,137,415.75/3,246.76
  6. Step 6: Final answer
    x = 1,582.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.