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Finding the Fourth Proportional to 4,657.95, 6,988.38 and 1,495.88

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Solution

The fourth proportional to 4,657.95, 6,988.38 and 1,495.88 is: 2,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.95 : 6,988.38 = 1,495.88 : x
  2. Step 2: Convert to fraction form
    4,657.95/6,988.38 = 1,495.88/x
  3. Step 3: Cross multiply
    4,657.95x = 6,988.38 × 1,495.88
  4. Step 4: Simplify right side
    4,657.95x = 10,453,742.93
  5. Step 5: Solve for x
    x = 10,453,742.93/4,657.95
  6. Step 6: Final answer
    x = 2,244.28

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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.