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Finding the Fourth Proportional to 5,698.11, 7,856.19 and 4,846.53

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Solution

The fourth proportional to 5,698.11, 7,856.19 and 4,846.53 is: 6,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.11 : 7,856.19 = 4,846.53 : x
  2. Step 2: Convert to fraction form
    5,698.11/7,856.19 = 4,846.53/x
  3. Step 3: Cross multiply
    5,698.11x = 7,856.19 × 4,846.53
  4. Step 4: Simplify right side
    5,698.11x = 38,075,260.52
  5. Step 5: Solve for x
    x = 38,075,260.52/5,698.11
  6. Step 6: Final answer
    x = 6,682.09

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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.