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Finding the Fourth Proportional to 4,354.77, 6,009.64 and 2,365.36

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Solution

The fourth proportional to 4,354.77, 6,009.64 and 2,365.36 is: 3,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.77 : 6,009.64 = 2,365.36 : x
  2. Step 2: Convert to fraction form
    4,354.77/6,009.64 = 2,365.36/x
  3. Step 3: Cross multiply
    4,354.77x = 6,009.64 × 2,365.36
  4. Step 4: Simplify right side
    4,354.77x = 14,214,941.13
  5. Step 5: Solve for x
    x = 14,214,941.13/4,354.77
  6. Step 6: Final answer
    x = 3,264.22

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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.