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Finding the Fourth Proportional to 4,697.33, 6,478.04 and 3,015.77

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Solution

The fourth proportional to 4,697.33, 6,478.04 and 3,015.77 is: 4,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.33 : 6,478.04 = 3,015.77 : x
  2. Step 2: Convert to fraction form
    4,697.33/6,478.04 = 3,015.77/x
  3. Step 3: Cross multiply
    4,697.33x = 6,478.04 × 3,015.77
  4. Step 4: Simplify right side
    4,697.33x = 19,536,253.84
  5. Step 5: Solve for x
    x = 19,536,253.84/4,697.33
  6. Step 6: Final answer
    x = 4,159.02

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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.