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Finding the Fourth Proportional to 5,312.88, 7,316.46 and 5,296.68

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Solution

The fourth proportional to 5,312.88, 7,316.46 and 5,296.68 is: 7,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.88 : 7,316.46 = 5,296.68 : x
  2. Step 2: Convert to fraction form
    5,312.88/7,316.46 = 5,296.68/x
  3. Step 3: Cross multiply
    5,312.88x = 7,316.46 × 5,296.68
  4. Step 4: Simplify right side
    5,312.88x = 38,752,947.35
  5. Step 5: Solve for x
    x = 38,752,947.35/5,312.88
  6. Step 6: Final answer
    x = 7,294.15

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