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Finding the Fourth Proportional to 4,278.07, 5,902.08 and 2,509.03

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Solution

The fourth proportional to 4,278.07, 5,902.08 and 2,509.03 is: 3,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.07 : 5,902.08 = 2,509.03 : x
  2. Step 2: Convert to fraction form
    4,278.07/5,902.08 = 2,509.03/x
  3. Step 3: Cross multiply
    4,278.07x = 5,902.08 × 2,509.03
  4. Step 4: Simplify right side
    4,278.07x = 14,808,495.78
  5. Step 5: Solve for x
    x = 14,808,495.78/4,278.07
  6. Step 6: Final answer
    x = 3,461.49

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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.