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Finding the Fourth Proportional to 4,599.45, 6,898.28 and 1,312.65

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Solution

The fourth proportional to 4,599.45, 6,898.28 and 1,312.65 is: 1,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.45 : 6,898.28 = 1,312.65 : x
  2. Step 2: Convert to fraction form
    4,599.45/6,898.28 = 1,312.65/x
  3. Step 3: Cross multiply
    4,599.45x = 6,898.28 × 1,312.65
  4. Step 4: Simplify right side
    4,599.45x = 9,055,020.68
  5. Step 5: Solve for x
    x = 9,055,020.68/4,599.45
  6. Step 6: Final answer
    x = 1,968.72

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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.