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Finding the Fourth Proportional to 4,326.98, 6,490.47 and 1,206.86

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Solution

The fourth proportional to 4,326.98, 6,490.47 and 1,206.86 is: 1,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.98 : 6,490.47 = 1,206.86 : x
  2. Step 2: Convert to fraction form
    4,326.98/6,490.47 = 1,206.86/x
  3. Step 3: Cross multiply
    4,326.98x = 6,490.47 × 1,206.86
  4. Step 4: Simplify right side
    4,326.98x = 7,833,088.62
  5. Step 5: Solve for x
    x = 7,833,088.62/4,326.98
  6. Step 6: Final answer
    x = 1,810.29

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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.