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Finding the Fourth Proportional to 19,058, 28,588.98 and 5,207

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Solution

The fourth proportional to 19,058, 28,588.98 and 5,207 is: 7,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,058 : 28,588.98 = 5,207 : x
  2. Step 2: Convert to fraction form
    19,058/28,588.98 = 5,207/x
  3. Step 3: Cross multiply
    19,058x = 28,588.98 × 5,207
  4. Step 4: Simplify right side
    19,058x = 148,862,818.86
  5. Step 5: Solve for x
    x = 148,862,818.86/19,058
  6. Step 6: Final answer
    x = 7,811.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.