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Finding the Fourth Proportional to 5,730.59, 8,595.84 and 3,406.70

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Solution

The fourth proportional to 5,730.59, 8,595.84 and 3,406.70 is: 5,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.59 : 8,595.84 = 3,406.70 : x
  2. Step 2: Convert to fraction form
    5,730.59/8,595.84 = 3,406.70/x
  3. Step 3: Cross multiply
    5,730.59x = 8,595.84 × 3,406.70
  4. Step 4: Simplify right side
    5,730.59x = 29,283,482.39
  5. Step 5: Solve for x
    x = 29,283,482.39/5,730.59
  6. Step 6: Final answer
    x = 5,110.03

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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.