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Finding the Fourth Proportional to 4,925.64, 7,387.02 and 2,003.40

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Solution

The fourth proportional to 4,925.64, 7,387.02 and 2,003.40 is: 3,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.64 : 7,387.02 = 2,003.40 : x
  2. Step 2: Convert to fraction form
    4,925.64/7,387.02 = 2,003.40/x
  3. Step 3: Cross multiply
    4,925.64x = 7,387.02 × 2,003.40
  4. Step 4: Simplify right side
    4,925.64x = 14,799,155.87
  5. Step 5: Solve for x
    x = 14,799,155.87/4,925.64
  6. Step 6: Final answer
    x = 3,004.51

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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.