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Finding the Fourth Proportional to 4,653.04, 6,980.42 and 1,533.22

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Solution

The fourth proportional to 4,653.04, 6,980.42 and 1,533.22 is: 2,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.04 : 6,980.42 = 1,533.22 : x
  2. Step 2: Convert to fraction form
    4,653.04/6,980.42 = 1,533.22/x
  3. Step 3: Cross multiply
    4,653.04x = 6,980.42 × 1,533.22
  4. Step 4: Simplify right side
    4,653.04x = 10,702,519.55
  5. Step 5: Solve for x
    x = 10,702,519.55/4,653.04
  6. Step 6: Final answer
    x = 2,300.11

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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.