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Finding the Fourth Proportional to 5,655.70, 7,812.08 and 4,345.48

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Solution

The fourth proportional to 5,655.70, 7,812.08 and 4,345.48 is: 6,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.70 : 7,812.08 = 4,345.48 : x
  2. Step 2: Convert to fraction form
    5,655.70/7,812.08 = 4,345.48/x
  3. Step 3: Cross multiply
    5,655.70x = 7,812.08 × 4,345.48
  4. Step 4: Simplify right side
    5,655.70x = 33,947,237.40
  5. Step 5: Solve for x
    x = 33,947,237.40/5,655.70
  6. Step 6: Final answer
    x = 6,002.31

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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.