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Finding the Fourth Proportional to 5,798.16, 7,994.16 and 5,133.60

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Solution

The fourth proportional to 5,798.16, 7,994.16 and 5,133.60 is: 7,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.16 : 7,994.16 = 5,133.60 : x
  2. Step 2: Convert to fraction form
    5,798.16/7,994.16 = 5,133.60/x
  3. Step 3: Cross multiply
    5,798.16x = 7,994.16 × 5,133.60
  4. Step 4: Simplify right side
    5,798.16x = 41,038,819.78
  5. Step 5: Solve for x
    x = 41,038,819.78/5,798.16
  6. Step 6: Final answer
    x = 7,077.90

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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.