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Finding the Fourth Proportional to 5,854.40, 8,762.86 and 4,101.56

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Solution

The fourth proportional to 5,854.40, 8,762.86 and 4,101.56 is: 6,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.40 : 8,762.86 = 4,101.56 : x
  2. Step 2: Convert to fraction form
    5,854.40/8,762.86 = 4,101.56/x
  3. Step 3: Cross multiply
    5,854.40x = 8,762.86 × 4,101.56
  4. Step 4: Simplify right side
    5,854.40x = 35,941,396.06
  5. Step 5: Solve for x
    x = 35,941,396.06/5,854.40
  6. Step 6: Final answer
    x = 6,139.21

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