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Finding the Fourth Proportional to 4,306.04, 6,460.16 and 1,384.64

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Solution

The fourth proportional to 4,306.04, 6,460.16 and 1,384.64 is: 2,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.04 : 6,460.16 = 1,384.64 : x
  2. Step 2: Convert to fraction form
    4,306.04/6,460.16 = 1,384.64/x
  3. Step 3: Cross multiply
    4,306.04x = 6,460.16 × 1,384.64
  4. Step 4: Simplify right side
    4,306.04x = 8,944,995.94
  5. Step 5: Solve for x
    x = 8,944,995.94/4,306.04
  6. Step 6: Final answer
    x = 2,077.31

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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.