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Finding the Fourth Proportional to 4,658.36, 6,987.47 and 1,148.40

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Solution

The fourth proportional to 4,658.36, 6,987.47 and 1,148.40 is: 1,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.36 : 6,987.47 = 1,148.40 : x
  2. Step 2: Convert to fraction form
    4,658.36/6,987.47 = 1,148.40/x
  3. Step 3: Cross multiply
    4,658.36x = 6,987.47 × 1,148.40
  4. Step 4: Simplify right side
    4,658.36x = 8,024,404.81
  5. Step 5: Solve for x
    x = 8,024,404.81/4,658.36
  6. Step 6: Final answer
    x = 1,722.58

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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.