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Finding the Fourth Proportional to 4,259.54, 5,876.43 and 2,931.50

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Solution

The fourth proportional to 4,259.54, 5,876.43 and 2,931.50 is: 4,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.54 : 5,876.43 = 2,931.50 : x
  2. Step 2: Convert to fraction form
    4,259.54/5,876.43 = 2,931.50/x
  3. Step 3: Cross multiply
    4,259.54x = 5,876.43 × 2,931.50
  4. Step 4: Simplify right side
    4,259.54x = 17,226,754.55
  5. Step 5: Solve for x
    x = 17,226,754.55/4,259.54
  6. Step 6: Final answer
    x = 4,044.28

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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.