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Finding the Fourth Proportional to 3,462.51, 4,780.56 and 2,138.16

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Solution

The fourth proportional to 3,462.51, 4,780.56 and 2,138.16 is: 2,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.51 : 4,780.56 = 2,138.16 : x
  2. Step 2: Convert to fraction form
    3,462.51/4,780.56 = 2,138.16/x
  3. Step 3: Cross multiply
    3,462.51x = 4,780.56 × 2,138.16
  4. Step 4: Simplify right side
    3,462.51x = 10,221,602.17
  5. Step 5: Solve for x
    x = 10,221,602.17/3,462.51
  6. Step 6: Final answer
    x = 2,952.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.