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Finding the Fourth Proportional to 4,257.78, 5,875.50 and 2,490

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Solution

The fourth proportional to 4,257.78, 5,875.50 and 2,490 is: 3,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.78 : 5,875.50 = 2,490 : x
  2. Step 2: Convert to fraction form
    4,257.78/5,875.50 = 2,490/x
  3. Step 3: Cross multiply
    4,257.78x = 5,875.50 × 2,490
  4. Step 4: Simplify right side
    4,257.78x = 14,629,995
  5. Step 5: Solve for x
    x = 14,629,995/4,257.78
  6. Step 6: Final answer
    x = 3,436.06

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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.