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Finding the Fourth Proportional to 5,920.40, 8,858.68 and 4,746.83

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Solution

The fourth proportional to 5,920.40, 8,858.68 and 4,746.83 is: 7,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.40 : 8,858.68 = 4,746.83 : x
  2. Step 2: Convert to fraction form
    5,920.40/8,858.68 = 4,746.83/x
  3. Step 3: Cross multiply
    5,920.40x = 8,858.68 × 4,746.83
  4. Step 4: Simplify right side
    5,920.40x = 42,050,591.82
  5. Step 5: Solve for x
    x = 42,050,591.82/5,920.40
  6. Step 6: Final answer
    x = 7,102.66

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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.