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Finding the Fourth Proportional to 3,460.64, 5,191.78 and 1,120.65

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Solution

The fourth proportional to 3,460.64, 5,191.78 and 1,120.65 is: 1,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.64 : 5,191.78 = 1,120.65 : x
  2. Step 2: Convert to fraction form
    3,460.64/5,191.78 = 1,120.65/x
  3. Step 3: Cross multiply
    3,460.64x = 5,191.78 × 1,120.65
  4. Step 4: Simplify right side
    3,460.64x = 5,818,159.23
  5. Step 5: Solve for x
    x = 5,818,159.23/3,460.64
  6. Step 6: Final answer
    x = 1,681.24

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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.