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Finding the Fourth Proportional to 4,838.40, 7,300.80 and 4,676.40

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Solution

The fourth proportional to 4,838.40, 7,300.80 and 4,676.40 is: 7,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.40 : 7,300.80 = 4,676.40 : x
  2. Step 2: Convert to fraction form
    4,838.40/7,300.80 = 4,676.40/x
  3. Step 3: Cross multiply
    4,838.40x = 7,300.80 × 4,676.40
  4. Step 4: Simplify right side
    4,838.40x = 34,141,461.12
  5. Step 5: Solve for x
    x = 34,141,461.12/4,838.40
  6. Step 6: Final answer
    x = 7,056.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.