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Finding the Fourth Proportional to 4,718.69, 7,078.40 and 1,432.06

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Solution

The fourth proportional to 4,718.69, 7,078.40 and 1,432.06 is: 2,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.69 : 7,078.40 = 1,432.06 : x
  2. Step 2: Convert to fraction form
    4,718.69/7,078.40 = 1,432.06/x
  3. Step 3: Cross multiply
    4,718.69x = 7,078.40 × 1,432.06
  4. Step 4: Simplify right side
    4,718.69x = 10,136,693.50
  5. Step 5: Solve for x
    x = 10,136,693.50/4,718.69
  6. Step 6: Final answer
    x = 2,148.20

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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.