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Finding the Fourth Proportional to 4,701.06, 7,049.70 and 3,055.14

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Solution

The fourth proportional to 4,701.06, 7,049.70 and 3,055.14 is: 4,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.06 : 7,049.70 = 3,055.14 : x
  2. Step 2: Convert to fraction form
    4,701.06/7,049.70 = 3,055.14/x
  3. Step 3: Cross multiply
    4,701.06x = 7,049.70 × 3,055.14
  4. Step 4: Simplify right side
    4,701.06x = 21,537,820.46
  5. Step 5: Solve for x
    x = 21,537,820.46/4,701.06
  6. Step 6: Final answer
    x = 4,581.48

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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.