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Finding the Fourth Proportional to 5,228.55, 7,829.10 and 4,925.12

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Solution

The fourth proportional to 5,228.55, 7,829.10 and 4,925.12 is: 7,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.55 : 7,829.10 = 4,925.12 : x
  2. Step 2: Convert to fraction form
    5,228.55/7,829.10 = 4,925.12/x
  3. Step 3: Cross multiply
    5,228.55x = 7,829.10 × 4,925.12
  4. Step 4: Simplify right side
    5,228.55x = 38,559,217.85
  5. Step 5: Solve for x
    x = 38,559,217.85/5,228.55
  6. Step 6: Final answer
    x = 7,374.74

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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.