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Finding the Fourth Proportional to 4,447.02, 6,670.52 and 1,160.10

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Solution

The fourth proportional to 4,447.02, 6,670.52 and 1,160.10 is: 1,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.02 : 6,670.52 = 1,160.10 : x
  2. Step 2: Convert to fraction form
    4,447.02/6,670.52 = 1,160.10/x
  3. Step 3: Cross multiply
    4,447.02x = 6,670.52 × 1,160.10
  4. Step 4: Simplify right side
    4,447.02x = 7,738,470.25
  5. Step 5: Solve for x
    x = 7,738,470.25/4,447.02
  6. Step 6: Final answer
    x = 1,740.15

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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.