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Finding the Fourth Proportional to 4,669.12, 7,007.76 and 1,897.32

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Solution

The fourth proportional to 4,669.12, 7,007.76 and 1,897.32 is: 2,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.12 : 7,007.76 = 1,897.32 : x
  2. Step 2: Convert to fraction form
    4,669.12/7,007.76 = 1,897.32/x
  3. Step 3: Cross multiply
    4,669.12x = 7,007.76 × 1,897.32
  4. Step 4: Simplify right side
    4,669.12x = 13,295,963.20
  5. Step 5: Solve for x
    x = 13,295,963.20/4,669.12
  6. Step 6: Final answer
    x = 2,847.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.