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Finding the Fourth Proportional to 6,852.96, 10,281.60 and 2,957.40

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Solution

The fourth proportional to 6,852.96, 10,281.60 and 2,957.40 is: 4,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.96 : 10,281.60 = 2,957.40 : x
  2. Step 2: Convert to fraction form
    6,852.96/10,281.60 = 2,957.40/x
  3. Step 3: Cross multiply
    6,852.96x = 10,281.60 × 2,957.40
  4. Step 4: Simplify right side
    6,852.96x = 30,406,803.84
  5. Step 5: Solve for x
    x = 30,406,803.84/6,852.96
  6. Step 6: Final answer
    x = 4,437.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.