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Finding the Fourth Proportional to 5,258, 7,256.04 and 2,900.12

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Solution

The fourth proportional to 5,258, 7,256.04 and 2,900.12 is: 4,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258 : 7,256.04 = 2,900.12 : x
  2. Step 2: Convert to fraction form
    5,258/7,256.04 = 2,900.12/x
  3. Step 3: Cross multiply
    5,258x = 7,256.04 × 2,900.12
  4. Step 4: Simplify right side
    5,258x = 21,043,386.72
  5. Step 5: Solve for x
    x = 21,043,386.72/5,258
  6. Step 6: Final answer
    x = 4,002.17

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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.