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Finding the Fourth Proportional to 3,695.90, 5,543.84 and 1,503.16

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Solution

The fourth proportional to 3,695.90, 5,543.84 and 1,503.16 is: 2,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.90 : 5,543.84 = 1,503.16 : x
  2. Step 2: Convert to fraction form
    3,695.90/5,543.84 = 1,503.16/x
  3. Step 3: Cross multiply
    3,695.90x = 5,543.84 × 1,503.16
  4. Step 4: Simplify right side
    3,695.90x = 8,333,268.43
  5. Step 5: Solve for x
    x = 8,333,268.43/3,695.90
  6. Step 6: Final answer
    x = 2,254.74

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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.