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Finding the Fourth Proportional to 5,699.40, 7,863.68 and 5,303

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Solution

The fourth proportional to 5,699.40, 7,863.68 and 5,303 is: 7,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.40 : 7,863.68 = 5,303 : x
  2. Step 2: Convert to fraction form
    5,699.40/7,863.68 = 5,303/x
  3. Step 3: Cross multiply
    5,699.40x = 7,863.68 × 5,303
  4. Step 4: Simplify right side
    5,699.40x = 41,701,095.04
  5. Step 5: Solve for x
    x = 41,701,095.04/5,699.40
  6. Step 6: Final answer
    x = 7,316.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.