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Finding the Fourth Proportional to 4,697.60, 6,476.56 and 4,041.50

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Solution

The fourth proportional to 4,697.60, 6,476.56 and 4,041.50 is: 5,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.60 : 6,476.56 = 4,041.50 : x
  2. Step 2: Convert to fraction form
    4,697.60/6,476.56 = 4,041.50/x
  3. Step 3: Cross multiply
    4,697.60x = 6,476.56 × 4,041.50
  4. Step 4: Simplify right side
    4,697.60x = 26,174,974.75
  5. Step 5: Solve for x
    x = 26,174,974.75/4,697.60
  6. Step 6: Final answer
    x = 5,571.99

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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.