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Finding the Fourth Proportional to 4,600.06, 6,898.08 and 1,312.42

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Solution

The fourth proportional to 4,600.06, 6,898.08 and 1,312.42 is: 1,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.06 : 6,898.08 = 1,312.42 : x
  2. Step 2: Convert to fraction form
    4,600.06/6,898.08 = 1,312.42/x
  3. Step 3: Cross multiply
    4,600.06x = 6,898.08 × 1,312.42
  4. Step 4: Simplify right side
    4,600.06x = 9,053,178.15
  5. Step 5: Solve for x
    x = 9,053,178.15/4,600.06
  6. Step 6: Final answer
    x = 1,968.06

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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.