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Finding the Fourth Proportional to 5,497.42, 8,248.02 and 1,602.40

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Solution

The fourth proportional to 5,497.42, 8,248.02 and 1,602.40 is: 2,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.42 : 8,248.02 = 1,602.40 : x
  2. Step 2: Convert to fraction form
    5,497.42/8,248.02 = 1,602.40/x
  3. Step 3: Cross multiply
    5,497.42x = 8,248.02 × 1,602.40
  4. Step 4: Simplify right side
    5,497.42x = 13,216,627.25
  5. Step 5: Solve for x
    x = 13,216,627.25/5,497.42
  6. Step 6: Final answer
    x = 2,404.15

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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.