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Finding the Fourth Proportional to 4,987.98, 7,478.64 and 2,389.50

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Solution

The fourth proportional to 4,987.98, 7,478.64 and 2,389.50 is: 3,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.98 : 7,478.64 = 2,389.50 : x
  2. Step 2: Convert to fraction form
    4,987.98/7,478.64 = 2,389.50/x
  3. Step 3: Cross multiply
    4,987.98x = 7,478.64 × 2,389.50
  4. Step 4: Simplify right side
    4,987.98x = 17,870,210.28
  5. Step 5: Solve for x
    x = 17,870,210.28/4,987.98
  6. Step 6: Final answer
    x = 3,582.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.