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Finding the Fourth Proportional to 5,253.60, 7,880.40 and 4,706.40

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Solution

The fourth proportional to 5,253.60, 7,880.40 and 4,706.40 is: 7,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.60 : 7,880.40 = 4,706.40 : x
  2. Step 2: Convert to fraction form
    5,253.60/7,880.40 = 4,706.40/x
  3. Step 3: Cross multiply
    5,253.60x = 7,880.40 × 4,706.40
  4. Step 4: Simplify right side
    5,253.60x = 37,088,314.56
  5. Step 5: Solve for x
    x = 37,088,314.56/5,253.60
  6. Step 6: Final answer
    x = 7,059.60

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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.