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Finding the Fourth Proportional to 3,460.16, 4,773.66 and 2,200.88

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Solution

The fourth proportional to 3,460.16, 4,773.66 and 2,200.88 is: 3,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.16 : 4,773.66 = 2,200.88 : x
  2. Step 2: Convert to fraction form
    3,460.16/4,773.66 = 2,200.88/x
  3. Step 3: Cross multiply
    3,460.16x = 4,773.66 × 2,200.88
  4. Step 4: Simplify right side
    3,460.16x = 10,506,252.82
  5. Step 5: Solve for x
    x = 10,506,252.82/3,460.16
  6. Step 6: Final answer
    x = 3,036.35

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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.