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Finding the Fourth Proportional to 5,804.95, 8,006.70 and 4,100.71

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Solution

The fourth proportional to 5,804.95, 8,006.70 and 4,100.71 is: 5,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.95 : 8,006.70 = 4,100.71 : x
  2. Step 2: Convert to fraction form
    5,804.95/8,006.70 = 4,100.71/x
  3. Step 3: Cross multiply
    5,804.95x = 8,006.70 × 4,100.71
  4. Step 4: Simplify right side
    5,804.95x = 32,833,154.76
  5. Step 5: Solve for x
    x = 32,833,154.76/5,804.95
  6. Step 6: Final answer
    x = 5,656.06

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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.