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Finding the Fourth Proportional to 4,905.70, 7,358.55 and 4,656.10

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Solution

The fourth proportional to 4,905.70, 7,358.55 and 4,656.10 is: 6,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.70 : 7,358.55 = 4,656.10 : x
  2. Step 2: Convert to fraction form
    4,905.70/7,358.55 = 4,656.10/x
  3. Step 3: Cross multiply
    4,905.70x = 7,358.55 × 4,656.10
  4. Step 4: Simplify right side
    4,905.70x = 34,262,144.66
  5. Step 5: Solve for x
    x = 34,262,144.66/4,905.70
  6. Step 6: Final answer
    x = 6,984.15

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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.