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Finding the Fourth Proportional to 4,658.08, 6,987.34 and 1,538.01

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Solution

The fourth proportional to 4,658.08, 6,987.34 and 1,538.01 is: 2,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.08 : 6,987.34 = 1,538.01 : x
  2. Step 2: Convert to fraction form
    4,658.08/6,987.34 = 1,538.01/x
  3. Step 3: Cross multiply
    4,658.08x = 6,987.34 × 1,538.01
  4. Step 4: Simplify right side
    4,658.08x = 10,746,608.08
  5. Step 5: Solve for x
    x = 10,746,608.08/4,658.08
  6. Step 6: Final answer
    x = 2,307.09

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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.