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Finding the Fourth Proportional to 5,002.56, 6,904.26 and 2,907.84

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Solution

The fourth proportional to 5,002.56, 6,904.26 and 2,907.84 is: 4,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.56 : 6,904.26 = 2,907.84 : x
  2. Step 2: Convert to fraction form
    5,002.56/6,904.26 = 2,907.84/x
  3. Step 3: Cross multiply
    5,002.56x = 6,904.26 × 2,907.84
  4. Step 4: Simplify right side
    5,002.56x = 20,076,483.40
  5. Step 5: Solve for x
    x = 20,076,483.40/5,002.56
  6. Step 6: Final answer
    x = 4,013.24

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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.