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Finding the Fourth Proportional to 5,829.57, 8,045.93 and 4,041.90

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Solution

The fourth proportional to 5,829.57, 8,045.93 and 4,041.90 is: 5,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.57 : 8,045.93 = 4,041.90 : x
  2. Step 2: Convert to fraction form
    5,829.57/8,045.93 = 4,041.90/x
  3. Step 3: Cross multiply
    5,829.57x = 8,045.93 × 4,041.90
  4. Step 4: Simplify right side
    5,829.57x = 32,520,854.57
  5. Step 5: Solve for x
    x = 32,520,854.57/5,829.57
  6. Step 6: Final answer
    x = 5,578.60

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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.