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Finding the Fourth Proportional to 4,701.48, 7,055.44 and 4,665

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Solution

The fourth proportional to 4,701.48, 7,055.44 and 4,665 is: 7,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.48 : 7,055.44 = 4,665 : x
  2. Step 2: Convert to fraction form
    4,701.48/7,055.44 = 4,665/x
  3. Step 3: Cross multiply
    4,701.48x = 7,055.44 × 4,665
  4. Step 4: Simplify right side
    4,701.48x = 32,913,627.60
  5. Step 5: Solve for x
    x = 32,913,627.60/4,701.48
  6. Step 6: Final answer
    x = 7,000.70

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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.