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Finding the Fourth Proportional to 4,257.66, 5,875.64 and 2,369.26

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Solution

The fourth proportional to 4,257.66, 5,875.64 and 2,369.26 is: 3,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.66 : 5,875.64 = 2,369.26 : x
  2. Step 2: Convert to fraction form
    4,257.66/5,875.64 = 2,369.26/x
  3. Step 3: Cross multiply
    4,257.66x = 5,875.64 × 2,369.26
  4. Step 4: Simplify right side
    4,257.66x = 13,920,931.47
  5. Step 5: Solve for x
    x = 13,920,931.47/4,257.66
  6. Step 6: Final answer
    x = 3,269.62

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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.