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Finding the Fourth Proportional to 4,599.71, 6,900.64 and 1,312.85

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Solution

The fourth proportional to 4,599.71, 6,900.64 and 1,312.85 is: 1,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.71 : 6,900.64 = 1,312.85 : x
  2. Step 2: Convert to fraction form
    4,599.71/6,900.64 = 1,312.85/x
  3. Step 3: Cross multiply
    4,599.71x = 6,900.64 × 1,312.85
  4. Step 4: Simplify right side
    4,599.71x = 9,059,505.22
  5. Step 5: Solve for x
    x = 9,059,505.22/4,599.71
  6. Step 6: Final answer
    x = 1,969.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.