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Finding the Fourth Proportional to 4,969.64, 6,860.52 and 3,485.36

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Solution

The fourth proportional to 4,969.64, 6,860.52 and 3,485.36 is: 4,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.64 : 6,860.52 = 3,485.36 : x
  2. Step 2: Convert to fraction form
    4,969.64/6,860.52 = 3,485.36/x
  3. Step 3: Cross multiply
    4,969.64x = 6,860.52 × 3,485.36
  4. Step 4: Simplify right side
    4,969.64x = 23,911,381.99
  5. Step 5: Solve for x
    x = 23,911,381.99/4,969.64
  6. Step 6: Final answer
    x = 4,811.49

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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.