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Finding the Fourth Proportional to 5,316.30, 7,978.23 and 2,397.06

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Solution

The fourth proportional to 5,316.30, 7,978.23 and 2,397.06 is: 3,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.30 : 7,978.23 = 2,397.06 : x
  2. Step 2: Convert to fraction form
    5,316.30/7,978.23 = 2,397.06/x
  3. Step 3: Cross multiply
    5,316.30x = 7,978.23 × 2,397.06
  4. Step 4: Simplify right side
    5,316.30x = 19,124,296.00
  5. Step 5: Solve for x
    x = 19,124,296.00/5,316.30
  6. Step 6: Final answer
    x = 3,597.29

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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.