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Finding the Fourth Proportional to 5,828.40, 8,742.60 and 2,912.40

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Solution

The fourth proportional to 5,828.40, 8,742.60 and 2,912.40 is: 4,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.40 : 8,742.60 = 2,912.40 : x
  2. Step 2: Convert to fraction form
    5,828.40/8,742.60 = 2,912.40/x
  3. Step 3: Cross multiply
    5,828.40x = 8,742.60 × 2,912.40
  4. Step 4: Simplify right side
    5,828.40x = 25,461,948.24
  5. Step 5: Solve for x
    x = 25,461,948.24/5,828.40
  6. Step 6: Final answer
    x = 4,368.60

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1.5x scale

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.