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Finding the Fourth Proportional to 5,804.24, 8,014.01 and 3,569.12

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Solution

The fourth proportional to 5,804.24, 8,014.01 and 3,569.12 is: 4,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.24 : 8,014.01 = 3,569.12 : x
  2. Step 2: Convert to fraction form
    5,804.24/8,014.01 = 3,569.12/x
  3. Step 3: Cross multiply
    5,804.24x = 8,014.01 × 3,569.12
  4. Step 4: Simplify right side
    5,804.24x = 28,602,905.46
  5. Step 5: Solve for x
    x = 28,602,905.46/5,804.24
  6. Step 6: Final answer
    x = 4,927.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.