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Finding the Fourth Proportional to 3,710.94, 5,107.50 and 2,962.50

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Solution

The fourth proportional to 3,710.94, 5,107.50 and 2,962.50 is: 4,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.94 : 5,107.50 = 2,962.50 : x
  2. Step 2: Convert to fraction form
    3,710.94/5,107.50 = 2,962.50/x
  3. Step 3: Cross multiply
    3,710.94x = 5,107.50 × 2,962.50
  4. Step 4: Simplify right side
    3,710.94x = 15,130,968.75
  5. Step 5: Solve for x
    x = 15,130,968.75/3,710.94
  6. Step 6: Final answer
    x = 4,077.40

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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.