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Finding the Fourth Proportional to 5,159.84, 7,740.86 and 1,463.20

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Solution

The fourth proportional to 5,159.84, 7,740.86 and 1,463.20 is: 2,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.84 : 7,740.86 = 1,463.20 : x
  2. Step 2: Convert to fraction form
    5,159.84/7,740.86 = 1,463.20/x
  3. Step 3: Cross multiply
    5,159.84x = 7,740.86 × 1,463.20
  4. Step 4: Simplify right side
    5,159.84x = 11,326,426.35
  5. Step 5: Solve for x
    x = 11,326,426.35/5,159.84
  6. Step 6: Final answer
    x = 2,195.11

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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.