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Finding the Fourth Proportional to 4,277.40, 5,903.18 and 2,509.30

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Solution

The fourth proportional to 4,277.40, 5,903.18 and 2,509.30 is: 3,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.40 : 5,903.18 = 2,509.30 : x
  2. Step 2: Convert to fraction form
    4,277.40/5,903.18 = 2,509.30/x
  3. Step 3: Cross multiply
    4,277.40x = 5,903.18 × 2,509.30
  4. Step 4: Simplify right side
    4,277.40x = 14,812,849.57
  5. Step 5: Solve for x
    x = 14,812,849.57/4,277.40
  6. Step 6: Final answer
    x = 3,463.05

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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.