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Finding the Fourth Proportional to 5,258.19, 7,256.10 and 2,900.31

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Solution

The fourth proportional to 5,258.19, 7,256.10 and 2,900.31 is: 4,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.19 : 7,256.10 = 2,900.31 : x
  2. Step 2: Convert to fraction form
    5,258.19/7,256.10 = 2,900.31/x
  3. Step 3: Cross multiply
    5,258.19x = 7,256.10 × 2,900.31
  4. Step 4: Simplify right side
    5,258.19x = 21,044,939.39
  5. Step 5: Solve for x
    x = 21,044,939.39/5,258.19
  6. Step 6: Final answer
    x = 4,002.32

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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.