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Finding the Fourth Proportional to 5,698.05, 7,864.02 and 3,459.78

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Solution

The fourth proportional to 5,698.05, 7,864.02 and 3,459.78 is: 4,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.05 : 7,864.02 = 3,459.78 : x
  2. Step 2: Convert to fraction form
    5,698.05/7,864.02 = 3,459.78/x
  3. Step 3: Cross multiply
    5,698.05x = 7,864.02 × 3,459.78
  4. Step 4: Simplify right side
    5,698.05x = 27,207,779.12
  5. Step 5: Solve for x
    x = 27,207,779.12/5,698.05
  6. Step 6: Final answer
    x = 4,774.93

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