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Finding the Fourth Proportional to 5,298.64, 7,312.35 and 2,940.78

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Solution

The fourth proportional to 5,298.64, 7,312.35 and 2,940.78 is: 4,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.64 : 7,312.35 = 2,940.78 : x
  2. Step 2: Convert to fraction form
    5,298.64/7,312.35 = 2,940.78/x
  3. Step 3: Cross multiply
    5,298.64x = 7,312.35 × 2,940.78
  4. Step 4: Simplify right side
    5,298.64x = 21,504,012.63
  5. Step 5: Solve for x
    x = 21,504,012.63/5,298.64
  6. Step 6: Final answer
    x = 4,058.40

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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.