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Finding the Fourth Proportional to 3,459.65, 4,776.03 and 2,134.08

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Solution

The fourth proportional to 3,459.65, 4,776.03 and 2,134.08 is: 2,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.65 : 4,776.03 = 2,134.08 : x
  2. Step 2: Convert to fraction form
    3,459.65/4,776.03 = 2,134.08/x
  3. Step 3: Cross multiply
    3,459.65x = 4,776.03 × 2,134.08
  4. Step 4: Simplify right side
    3,459.65x = 10,192,430.10
  5. Step 5: Solve for x
    x = 10,192,430.10/3,459.65
  6. Step 6: Final answer
    x = 2,946.09

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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.