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Finding the Fourth Proportional to 4,258, 5,875.89 and 2,369.89

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Solution

The fourth proportional to 4,258, 5,875.89 and 2,369.89 is: 3,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258 : 5,875.89 = 2,369.89 : x
  2. Step 2: Convert to fraction form
    4,258/5,875.89 = 2,369.89/x
  3. Step 3: Cross multiply
    4,258x = 5,875.89 × 2,369.89
  4. Step 4: Simplify right side
    4,258x = 13,925,212.95
  5. Step 5: Solve for x
    x = 13,925,212.95/4,258
  6. Step 6: Final answer
    x = 3,270.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.