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Finding the Fourth Proportional to 5,698.17, 7,864.44 and 4,210.40

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Solution

The fourth proportional to 5,698.17, 7,864.44 and 4,210.40 is: 5,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.17 : 7,864.44 = 4,210.40 : x
  2. Step 2: Convert to fraction form
    5,698.17/7,864.44 = 4,210.40/x
  3. Step 3: Cross multiply
    5,698.17x = 7,864.44 × 4,210.40
  4. Step 4: Simplify right side
    5,698.17x = 33,112,398.85
  5. Step 5: Solve for x
    x = 33,112,398.85/5,698.17
  6. Step 6: Final answer
    x = 5,811.06

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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.