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Finding the Fourth Proportional to 4,653.80, 6,980.70 and 2,810.60

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Solution

The fourth proportional to 4,653.80, 6,980.70 and 2,810.60 is: 4,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.80 : 6,980.70 = 2,810.60 : x
  2. Step 2: Convert to fraction form
    4,653.80/6,980.70 = 2,810.60/x
  3. Step 3: Cross multiply
    4,653.80x = 6,980.70 × 2,810.60
  4. Step 4: Simplify right side
    4,653.80x = 19,619,955.42
  5. Step 5: Solve for x
    x = 19,619,955.42/4,653.80
  6. Step 6: Final answer
    x = 4,215.90

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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.