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Finding the Fourth Proportional to 4,652.04, 6,408 and 4,345.92

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Solution

The fourth proportional to 4,652.04, 6,408 and 4,345.92 is: 5,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.04 : 6,408 = 4,345.92 : x
  2. Step 2: Convert to fraction form
    4,652.04/6,408 = 4,345.92/x
  3. Step 3: Cross multiply
    4,652.04x = 6,408 × 4,345.92
  4. Step 4: Simplify right side
    4,652.04x = 27,848,655.36
  5. Step 5: Solve for x
    x = 27,848,655.36/4,652.04
  6. Step 6: Final answer
    x = 5,986.33

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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.