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Finding the Fourth Proportional to 5,146.93, 7,056.93 and 5,097.72

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Solution

The fourth proportional to 5,146.93, 7,056.93 and 5,097.72 is: 6,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.93 : 7,056.93 = 5,097.72 : x
  2. Step 2: Convert to fraction form
    5,146.93/7,056.93 = 5,097.72/x
  3. Step 3: Cross multiply
    5,146.93x = 7,056.93 × 5,097.72
  4. Step 4: Simplify right side
    5,146.93x = 35,974,253.20
  5. Step 5: Solve for x
    x = 35,974,253.20/5,146.93
  6. Step 6: Final answer
    x = 6,989.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.