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Finding the Fourth Proportional to 5,604.85, 8,408.40 and 1,656.10

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Solution

The fourth proportional to 5,604.85, 8,408.40 and 1,656.10 is: 2,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.85 : 8,408.40 = 1,656.10 : x
  2. Step 2: Convert to fraction form
    5,604.85/8,408.40 = 1,656.10/x
  3. Step 3: Cross multiply
    5,604.85x = 8,408.40 × 1,656.10
  4. Step 4: Simplify right side
    5,604.85x = 13,925,151.24
  5. Step 5: Solve for x
    x = 13,925,151.24/5,604.85
  6. Step 6: Final answer
    x = 2,484.48

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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.