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Finding the Fourth Proportional to 5,798.22, 8,699.82 and 3,719.40

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Solution

The fourth proportional to 5,798.22, 8,699.82 and 3,719.40 is: 5,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.22 : 8,699.82 = 3,719.40 : x
  2. Step 2: Convert to fraction form
    5,798.22/8,699.82 = 3,719.40/x
  3. Step 3: Cross multiply
    5,798.22x = 8,699.82 × 3,719.40
  4. Step 4: Simplify right side
    5,798.22x = 32,358,110.51
  5. Step 5: Solve for x
    x = 32,358,110.51/5,798.22
  6. Step 6: Final answer
    x = 5,580.70

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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.